diff --git a/Basic Python Packages for Science.ipynb b/Basic Python Packages for Science.ipynb
index ef7fdeb..25fbef0 100644
--- a/Basic Python Packages for Science.ipynb	
+++ b/Basic Python Packages for Science.ipynb	
@@ -11,8 +11,8 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Remove Before Flight\n",
-    "## Analyzing Flight Safety Data with Python"
+    "# Basic Python Packages for Science\n",
+    "## The Aeropython’s guide to the Python Galaxy! "
    ]
   },
   {
@@ -130,6 +130,15 @@
     "![jupyter](./static/jupyter-logo.png)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The Jupyter Notebook is a web application that allows you to create and share documents that contain live code, equations, visualizations and explanatory text. Uses include: data cleaning and transformation, numerical simulation, statistical modeling, machine learning and much more.\n",
+    "\n",
+    "It has been widely recognised as a great way to distribute scientific papers, because of the capability to have an integrated format with text and executable code, highly reproducible. Top level investigators around the world are already using it, like the team behind the Gravitational Waves discovery (LIGO), whose analysis was translated to an interactive dowloadable Jupyter notebook. You can see it here: https://github.com/minrk/ligo-binder/blob/master/GW150914_tutorial.ipynb"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -173,7 +182,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 21,
    "metadata": {
     "collapsed": true
    },
@@ -193,7 +202,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "100 loops, best of 3: 1.82 ms per loop\n"
+      "100 loops, best of 3: 2.65 ms per loop\n"
      ]
     }
    ],
@@ -213,8 +222,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "The slowest run took 14.38 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
-      "10000 loops, best of 3: 95.7 µs per loop\n"
+      "The slowest run took 4.44 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
+      "10000 loops, best of 3: 61 µs per loop\n"
      ]
     }
    ],
@@ -334,7 +343,7 @@
     {
      "data": {
       "text/plain": [
-       "dtype('int64')"
+       "dtype('int32')"
       ]
      },
      "execution_count": 9,
@@ -549,7 +558,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 22,
    "metadata": {
     "collapsed": true
    },
@@ -569,7 +578,7 @@
     {
      "data": {
       "text/plain": [
-       "<matplotlib.image.AxesImage at 0x7f8bc9731c50>"
+       "<matplotlib.image.AxesImage at 0x655b294b38>"
       ]
      },
      "execution_count": 19,
@@ -580,7 +589,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f8bd438fd68>"
+       "<matplotlib.figure.Figure at 0x6559997470>"
       ]
      },
      "metadata": {},
@@ -620,7 +629,7 @@
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f8bc91e2f98>]"
+       "[<matplotlib.lines.Line2D at 0x655b913fd0>]"
       ]
      },
      "execution_count": 21,
@@ -631,7 +640,7 @@
      "data": {
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nnbGTJMuECbBokZ/TK1JsNPKXKpk+HY47zncR3HLL2GmS4ec/h8aNfeQvElN1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\nkRKk4i8iUoJU/EVESpCKv4hICfr/b1/w2IUFqTEAAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f8bc9203f60>"
+       "<matplotlib.figure.Figure at 0x655b272a58>"
       ]
      },
      "metadata": {},
@@ -663,7 +672,7 @@
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f8bc914ca90>]"
+       "[<matplotlib.lines.Line2D at 0x655b884860>]"
       ]
      },
      "execution_count": 23,
@@ -674,7 +683,7 @@
      "data": {
       "image/png": 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0EZEMoYQuIpIhGpXQzSzPzBab2cdmNipZQYmISMMlnNDNrAUwDQgARwC/N7O+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\nAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f8bc9180be0>"
+       "<matplotlib.figure.Figure at 0x655b5b35f8>"
       ]
      },
      "metadata": {},
@@ -859,19 +868,11 @@
    },
    "outputs": [
     {
-     "name": "stdout",
+     "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Estación: Barrio del Pilar;;;;\r\n",
-      "Fecha;Hora;CO;NO2;O3\r\n",
-      ";;mg/m³;µg/m³;µg/m³\r\n",
-      "22/03/2016;01:00;0.2;14;73\r\n",
-      "22/03/2016;02:00;0.2;10;77\r\n",
-      "22/03/2016;03:00;0.2;9;75\r\n",
-      "22/03/2016;04:00;0.2;3;81\r\n",
-      "22/03/2016;05:00;0.2;3;81\r\n",
-      "22/03/2016;06:00;0.2;6;79\r\n",
-      "22/03/2016;07:00;0.2;24;59\r\n"
+      "\"head\" no se reconoce como un comando interno o externo,\n",
+      "programa o archivo por lotes ejecutable.\n"
      ]
     }
    ],
@@ -887,7 +888,7 @@
    "cell_type": "code",
    "execution_count": 31,
    "metadata": {
-    "collapsed": false
+    "collapsed": true
    },
    "outputs": [
     {
@@ -1230,7 +1231,7 @@
      "data": {
       "image/png": 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JvsVqwRg35rI6kS/wyTZvBcJoNgKgAiTHwOgAtEQrK1RCpMSlqDIBqtvcDcOQ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\nBoPB0Iowom8wGAytiP8DZhkyA9miEikAAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f8bc915d6d8>"
+       "<matplotlib.figure.Figure at 0x655b895ba8>"
       ]
      },
      "metadata": {},
@@ -1304,7 +1305,7 @@
     {
      "data": {
       "text/plain": [
-       "<matplotlib.legend.Legend at 0x7f8bc87fa278>"
+       "<matplotlib.legend.Legend at 0x655ba13f98>"
       ]
      },
      "execution_count": 39,
@@ -1315,7 +1316,7 @@
      "data": {
       "image/png": 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fTqDXquUE1ahRcMUVZ/fO69d3vlC1ajnj0XPnQlSUU26LFs5/CwqcXyEFBdCq\nFbz/vtNb9pUdmTt4L/49Uo6kcGWrK5kQMQFTUJ85c5wg37DBaZc2beD+++Hee533nli/fz0z4mbQ\ntH5THuz7IG0alr+gtc6vrSefdI4lvPaaEzQVsT1zO88ue5ZF2xcxuO1gWoe05qdDP5GQnkB+UT4G\n54Ejrep1ou7JVhzNNmQfhcJCsEHp5NbfigkookXdDnSs35cOQRF0DOpLh/p9CKl1+Vll5RYeZ1/+\nRrKD17EodQ6bD25mbI+xXNX6KrJys5gRN4PAgECGdxhOn7AIOtQexIHtrUv2+5SUi9++wEDo0sXp\nVDTotIkPDvyetON7eXX4q9zQ6YbzhhS3p2Xw4IdRrDr6MfV3jyVv7tt07ersx507O/Ns3ep8F7ds\ngfBwaHDGpRWFhc5+mJ9/er+89s4NJPUezZTrX2RC3wkXvxFSolqE+5QVU5j6w1Tu63Mffx7yZ+yJ\nRiQknD18kZzszN+0qbNznnq1bHl2cIeGOj3wyhz6PnzY6Znu2OHUqXFjWLbMGS74zW+8GzLwhLVO\nD/9Q8d0JAgKgY0enHjVFfj68/TY895wz7NS3rxNAgYFO++zdCzt3nv4V9Mgjzh+e0hw6fojv93xP\nanYq3Zt259iOCD776HLi4539sH370/tf797OL7f0dGdfTUiAY8c8q/OJE04noE4d6HzVDoq6f8Kh\nWhuoS2M6FA0n/MRtJG0yxMc7PeC+fU//4mvf3vn/fDFOnoTNm09/pxISLSF9v+bYtU8SWrcFY9pO\nJCw4jOS0vcSmLGN3nS/peHQiv+v7R345IJRu3Zy6lrXu5GRnm04xBjp0gCZNTm/va6/BKzHJFI6/\nnj8N/QNPRz5+cRshJao03I0xI4G/41zp+q619qVS5rFjZo9h6vVTqX30CqKi4LPPnC/NqR05IgJ6\n9vRsXLuqWOv8qoiLc3pVd93lDE1I5SosdIYM4uOdP7andt+wsNNhD86vudbnP0OkVCtXOmP9p4Yf\nSjtTqKKsdYbZ4uKc4C044wmItWtD9+5Oua1a+b7Dcqqt1m7IZ86muazJmcNJc5SGgWEMCLuav4wd\nS7e2TX1bKJCWBk9EpfBp8K/4cMzHjBvS3+dl1ARVFu7GmABgKzAM2A+sBcZZa7ecM5/98ENLTIzz\nhXzkEZg8GUJCSlmpy8XGxhIZGVnV1bgkqC1Oc2tbrFp3nH69grjsMs+XcWtbVIS34e7N+VJXAtus\ntSnW2nyWyYo+AAADvElEQVTgY6DU2wR++CE8/LDTg3nxxZoZ7ODsuOJQW5zm1rYYNODigh3c2xZV\n4QJnQ5erFbD3jH+n4gT+eRYu9KIUERG5aJf0vWVERKRivBlzvxqIttaOLP73ZJx7Ibx0znz+PR1H\nRMSlquqAaiCQjHNANQ1YA9xlrd1c0cqIiIhvVHjM3VpbaIx5DFjM6VMhFewiIpcAv1/EJCIilc9v\nB1SNMSONMVuMMVuNMU/7q5xLlTFmtzEmwRgTZ4xZUzytsTFmsTEm2RjzjTGm4YXWUx0ZY941xmQY\nYxLPmFbmthtjnjHGbDPGbDbGDK+aWvtHGW0RZYxJNcZsKH6NPOMzN7dFa2PMMmNMkjFmozHm8eLp\nNW7fKKUt/rt4uu/2DW9uBl/WC+ePxnYgHKgNxANd/VHWpfoCdgKNz5n2EvBU8fungSlVXU8/bfu1\nQASQeKFtB7oDcThDhO2K9xtT1dvg57aIAn5fyrzdXN4WYUBE8ftgnGN2XWvivlFOW/hs3/BXz93j\nC5xczHD+L6MxwMzi9zOBWyq1RpXEWvs98PM5k8va9puBj621Bdba3cA2yrheojoqoy0ASjsLYgzu\nbot0a2188fscYDPQmhq4b5TRFq2KP/bJvuGvcC/tAqdWZczrVhZYYoxZa4x5qHhac2ttBjj/c4Ga\n9HSDZmVs+7n7yj5qxr7ymDEm3hjzzhnDEDWmLYwx7XB+0aym7O9FjWiPM9rix+JJPtk3dBGT/wy2\n1vYDbgR+a4z5BU7gn6kmH82uydv+JtDBWhsBpAOvVnF9KpUxJhiYC/yuuNdaY78XpbSFz/YNf4X7\nPuDMxza0Lp5WY1hr04r/exCYh/MTKsMY0xzAGBMGHKi6Gla6srZ9H3DmTd1dv69Yaw/a4oFU4P84\n/fPa9W1hjKmFE2YfWGvnF0+ukftGaW3hy33DX+G+FuhkjAk3xtQBxgEL/FTWJccYE1T8FxljTH1g\nOLARpw0eKJ7tfmB+qStwB8PZY4dlbfsCYJwxpo4xpj3QCeeCODc5qy2KA+yU24BNxe9rQlvMAH6y\n1r5+xrSaum+c1xY+3Tf8eDR4JM4R4G3A5Ko+Ol2ZL6A9zhlCcTihPrl4+uXAt8XtshhoVNV19dP2\nz8K5DXQesAeYADQua9uBZ3CO/m8Ghld1/SuhLd4HEov3kXk4Y841oS0GA4VnfDc2FOdEmd8Lt7ZH\nOW3hs31DFzGJiLiQDqiKiLiQwl1ExIUU7iIiLqRwFxFxIYW7iIgLKdxFRFxI4S4i4kIKdxERF/r/\nAJPio4yvFU8AAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f8bc91097f0>"
+       "<matplotlib.figure.Figure at 0x655b7d3cf8>"
       ]
      },
      "metadata": {},
@@ -1356,7 +1357,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/miniconda/envs/pydata-basic-python/lib/python3.5/site-packages/matplotlib/axes/_axes.py:519: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
+      "C:\\Anaconda3\\lib\\site-packages\\matplotlib\\axes\\_axes.py:519: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
       "  warnings.warn(\"No labelled objects found. \"\n"
      ]
     },
@@ -1364,7 +1365,7 @@
      "data": {
       "image/png": 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o7vbII3J07vXr9j/HeBNXya5+ltSvD/z6q1w847HHZNPOiy8qc2xX2/VdXfTG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\nxhjTEQ59xhjTEQ59xhjTkf8Pth7JNHEzhb4AAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f8bc88454e0>"
+       "<matplotlib.figure.Figure at 0x655b9e0860>"
       ]
      },
      "metadata": {},
@@ -1419,98 +1420,1507 @@
     "```"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 3. Graphical Representation: matplotlib"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "![matplotlib](./static/matplotlib.png)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Let's see more different graphics that we can plot with matplotlib!\n",
+    "\n",
+    "(If we happen to have internet at this point)"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 44,
    "metadata": {
-    "collapsed": true
+    "collapsed": false
    },
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<iframe src=\"http://matplotlib.org/gallery.html#pylab_examples\" width=\"800\" height=\"600\"></iframe>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 44,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from IPython.display import HTML\n",
+    "HTML('<iframe src=\"http://matplotlib.org/gallery.html#pylab_examples\" width=\"800\" height=\"600\"></iframe>')"
+   ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### 3. Graphical Representation: matplotlib"
+    "For example, lets represent a function over a 2D domain!\n",
+    "\n",
+    "For this we will use the contour function, which requires some special inputs..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 45,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "#we will use numpy functions in order to work with numpy arrays\n",
+    "def funcion(x,y):\n",
+    "    return np.cos(x) + np.sin(y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-1.9489167712635838"
+      ]
+     },
+     "execution_count": 50,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# 0D: works!\n",
+    "funcion(3,5)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x655965c860>]"
+      ]
+     },
+     "execution_count": 51,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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GDYI2beCOO2JHI5JbZWVw/PGw335wyy3x4tAIXxLBzDeeTJoEjz4aOxqR3LrxRvj4Y/jt\nb2NHUj0a4UteLFzoLRhmzIC2bWNHI5K9adN8Vc78+dCqVdxYNMKXRDnkEO8FfsIJsHZt7GhEsrNi\nhfeOevjh+Mk+ExrhS16de66f5/nII8naci5SXRs2QM+evtckKec6a4QviXTXXbB4sf9XpBANGwa7\n7gpXXRU7ksxp45Xk1U47wRNPQOfOvjGrc+fYEYlU3+OPw5NPwoIFvsGw0KikI1E884z33Jk/X4em\nSGFYvBh69IDJk32wkiQq6UiiHXus9ws/5RQ1WZPkW7PGd43fdFPykn0mcpLwzayvmS01s9fNbFgl\nX+9hZp+Y2cvlDx15LYwcCfXrw5VXxo5EpGoh+BGePXtuOdSkUGVdwzezOsDvgF7Ae8A8M5sQQli6\n1aUzQgjHZ3s/KR6bD005/HB/nHxy7IhEvu7GG30Z5rhxsSPJXi4mbTsAb4QQlgOY2aPAAGDrhK9F\nePI1u+8Of/4zHHWU9w//3vdiRySyxZQpcPvtMHcuNGgQO5rs5aKk0xJ4p8LH75Z/bmudzGyRmT1r\nZgk8GkBiadfOD4wYNMi3qYskwbJlcOaZ3hKkdevY0eRGviZtFwBtQgjt8PLPU3m6rxSIM87w9rKn\nn+4HoovEtH69D0CGD4fu3WNHkzu5KOmsANpU+LhV+ee+EkJYW+H5c2Y2ysyahBBWV/YDR44c+dXz\nkpISSkpKchCmJN3NN3tp55prdFKWxBMCXHABHHwwXHJJ7GgqV1paSmlpacbfl/U6fDPbAXgNn7Rd\nCbwEnBpCWFLhmhYhhFXlzzsAj4UQ9q7i52kdfop9+CEcdpgvfzvppNjRSBrdfDOMHw8zZ/pGwUKQ\ntyMOQwibzOwSYApeIhoTQlhiZhf6l8M9wBAzuwjYAHwOaD2GVKpZM9/J2KcP7L8/HHRQ7IgkTSZP\n9r72c+cWTrLPhHbaSiKNG+f105degqZNY0cjafDGG9C1q7f+6No1djSZqe4IXwlfEmvYME/4U6ZA\nvXqxo5FitmYNdOwIP/mJ1+8LjRK+FLxNm2DAAD8ecdSo2NFIsdq0CQYO9KWXhfp7pl46UvA278Qt\nLYXRo2NHI8Xqyith3TrfYFXs1B5ZEq1xY5g4Ebp08Uncnj1jRyTF5IEH4KmnYM6cdJQNVdKRgjBt\nmnfW/NvfYL/9YkcjxWDmTO+AOX164Z+zrJKOFJWePeF//9fbKq+udLueSPX9619w4okwdmzhJ/tM\naIQvBeXyy2HhQvjLX7y1skimPvnET1r74Q+Tu5M2U1qlI0Vp84qKFi3g3nt1ELpkZsMG6N/fO7MW\n0yStSjpSlDav3FmwAG64IXY0UkhCgIsv9jbHt9wSO5o4tEpHCs7//I+fidupE+y9N5x6auyIpBDc\ndJO3TJg50wcOaaSELwWpZUtP+r17Q6tW0K1b7IgkycaPh9/9DmbP9gFDWqmGLwVtyhQ/pGL6dF+n\nL7K16dN9Rc4LLxTviWqq4UsqHH201/L79YP33osdjSTN4sXeZnv8+OJN9plQSUcK3tChnuz79/fR\n3C67xI5IkuDdd/134uaboVev2NEkg0o6UhRC8DXVS5fCc89pjX7arV7tRxOefTb8/Oexo6l9Wocv\nqbNpk799r1cPHnkkvSsx0m79ei/1HXGEj+7TsFdDCV9S6YsvvJ6///7e6jYN/9hliw0b4IQTvOne\n2LFQJyWzlJq0lVTacUeYMAHmzYNf/jJ2NJJPZWVw7rme9O+7Lz3JPhOatJWi07ix1/G7dYMmTfwU\nIyluIcCPfgTLl6vP0rYo4UtRatbM1+h37w6NGhXmsXVSfVdf7T3tp06Fhg1jR5NcSvhStNq0gb/+\nFUpKYKed4IwzYkckteH66/0QkxkztCR3e5Twpajtuy88/7yvw95xRxgyJHZEkkv/939w//1+DGbT\nprGjST4lfCl6bdt6Tf/oo33J5oABsSOSXLjjDl+JNX067Lln7GgKgxK+pMLBB8OkSb7zEpT0C93o\n0d7iePp0b54n1aOEL6lx6KFbkn5ZGQwaFDsiqYk77/QNVdOmwV57xY6msCjhS6oceqiXd/r186V8\ngwfHjkgyccst3uZ4+nQ/C0Eyo4QvqdO+va/V7tfPt+Fr9U5huOEGGDPGk33r1rGjKUxK+JJKhxzi\n/dH79PGk//3vx45IqhKC75p+/HFfjdOyZeyICpcSvqTWd7/ro8XeveGzz+Dyy2NHJFsrK4NLL4UX\nX/R19s2bx46osCnhS6rts48nkqOOgo8+guuuU8O1pNiwAc45x/vaT5umTVW5oG6ZIniyP/ZY77J5\n772+Xl/iWbvWW13XqeOlnJ12ih1RsqlbpkgGmjb1mv6HH/oa/XXrYkeUXu+/Dz16+GaqJ59Uss8l\nJXyRcjvv7D1Z9tjDE47OyM2/JUugUycYOFDvtGqDEr5IBfXq+dK/wYOhY0d45ZXYEaXHCy94o7sR\nI+CaazSXUhtUwxepwmOPwcUX+2Eaxx0XO5riNmoU/PrX8OijnvQlM9Wt4WuVjkgVTjrJt+4PHuwj\n/V/8Qqco5dqGDXDZZb48dtYsXzUltScnv75m1tfMlprZ62Y2rIpr7jCzN8xskZm1y8V9RWrbEUf4\ncYnPPutnpa5ZEzui4rFyJRx5JLz9NsyerWSfD1knfDOrA/wO6AN8FzjVzPbf6pp+wD4hhG8DFwJ3\nZ3tfkXzZc0/f4dm8uf8BWLw4dkSFb8YMOOwwb1k9caIfSym1Lxcj/A7AGyGE5SGEDcCjwNbNZwcA\nYwFCCHOBXcysRQ7uLZIXDRrA738PP/+5H5t4//2+5V8yU1YGN93k5bL77vPJWZXJ8icXNfyWwDsV\nPn4X/yOwrWtWlH9uVQ7uL5I3554LHTrAySf77s9Ro/zMXNm+lSvh7LN9j8PcuWptHEMiJ21Hjhz5\n1fOSkhJKNG0vCXLggfDSS97j5ZBD4MEHoXPn2FEl2zPP+EHyF14Iw4dD3URmnsJRWlpKaWlpxt+X\n9bJMM+sIjAwh9C3/+EoghBB+W+Gau4FpIYQ/ln+8FOgRQvjaCF/LMqWQPPkk/PCHMHSorx9v0CB2\nRMny6afelO6vf4WHHoJu3WJHVJzy2VphHrCvme1lZvWBU4CJW10zETirPLCOwCeVJXuRQjNoECxa\n5BO5hx/uI39xkyb5u6F69eDVV5XskyDrN1YhhE1mdgkwBf8DMiaEsMTMLvQvh3tCCJPMrL+ZvQms\nA4Zme1+RpGjRwkf648d7H54hQ+Daa9O78mTlSp/cnjULHngAevWKHZFspp22Ijm0ejUMG+Ynat10\nk0/upqVFwMaNcNdd8JvfwPnne61eE9r5Ud2SjhK+SC2YOdN3kDZoALfe6uv3i1UI/gdu2DBo1szP\nnG3bNnZU6aKELxJZWRmMHQtXX+1r90eM8H77xWT+fLjiCu8sev313uUyLe9okkT98EUiq1PHT2x6\n7TU46CBP+meeCW+8ETuy7M2d6/MVAwbAKafAP/7hE9hK9smmhC9Syxo1gquugjffhP32837vQ4b4\nOa2F9GY2BF9e2bs3nHiiHwv55pt+ALzW1RcGlXRE8uyzz3z1ym23+UlbF1/sjdl23jl2ZJX75BPf\nXDZ6NNSvDz/+MZxxhj+XZFANXyThNm2Cp5/2k51efNGT/tln+67dHXaIG9uXX8LkyTBuHDz3HPTr\n5xvMunZV2SaJlPBFCsh77/lO1Icf9nN1jz/ea+I9ekDDhvmJYfVqmDLFE/yzz/pKm9NO8/JN06b5\niUFqRglfpEC9+SZMmOCPl1+Gdu088XfuDAcfDC1bZj/KDgHeeQfmzPFe9LNn+27h7t2hf3845hg1\nNyskSvgiRWDdOk/GpaXetuGVV3yD04EHwt57Q+vW/mja1CeHGzWCHXf0k6Q2bPDSzEcfwQcfwKpV\nsHw5LF3qK4caNvT9AR07+qNTJ/9eKTxK+CJFatUqXwa5fLmP0t95x8sxa9f644svvH9NvXo+sbr7\n7t7+oXlzaNMGvvMdfzRpEvt/ieSKEr6ISEpo45WIiPwXJXwRkZRQwhcRSQklfBGRlFDCFxFJCSV8\nEZGUUMIXEUkJJXwRkZRQwhcRSQklfBGRlFDCFxFJCSV8EZGUUMIXEUkJJXwRkZRQwhcRSQklfBGR\nlFDCFxFJCSV8EZGUUMIXEUkJJXwRkZRQwhcRSQklfBGRlFDCFxFJCSV8EZGUqJvNN5vZbsAfgb2A\nfwMnhRA+reS6fwOfAmXAhhBCh2zuKyIimct2hH8l8NcQwneAqcBVVVxXBpSEEA5Rsq++0tLS2CEk\ngl6HLfRabKHXInPZJvwBwIPlzx8EBlZxneXgXqmjX2in12ELvRZb6LXIXLZJuHkIYRVACOF9oHkV\n1wXgeTObZ2YXZHlPERGpge3W8M3seaBFxU/hCXx4JZeHKn5MlxDCSjNrhif+JSGEmRlHKyIiNWYh\nVJWjq/HNZkvw2vwqM9sDmBZCaLud7xkBfBZCuKWKr9c8IBGRlAoh2PauyWqVDjAROAf4LXA2MGHr\nC8ysIVAnhLDWzHYGjgZ+VdUPrE7QIiKSuWxH+E2Ax4DWwHJ8WeYnZvYN4N4QwrFm9k3gSbzcUxd4\nJIRwQ/ahi4hIJrJK+CIiUjgSs1TSzPqa2VIze93MhsWOJxYzG2Nmq8zs1dixxGZmrcxsqpn908z+\nbmaXxo4pFjNrYGZzzWxh+WsxInZMsZlZHTN72cwmxo4lJjP7t5m9Uv678dI2r03CCN/M6gCvA72A\n94B5wCkhhKVRA4vAzLoCa4GxIYSDYscTU/lCgD1CCIvMrBGwABiQxt8L8PmwEMJ6M9sBmAVcGkLY\n5j/wYmZmPwEOBRqHEI6PHU8sZvYv4NAQwsfbuzYpI/wOwBshhOUhhA3Ao/imrtQpX6663f/j0iCE\n8H4IYVH587XAEqBl3KjiCSGsL3/aAJ8Piz9ai8TMWgH9gT/EjiUBqr2xNSkJvyXwToWP3yXF/7Dl\n68xsb6AdMDduJPGUlzAWAu8Dz4cQ5sWOKaJbgZ+T4j96FVR7Y2tSEr5IlcrLOX8CLisf6adSCKEs\nhHAI0Ao4wswOiB1TDGZ2DLCq/N2flT/SrEsIoT3+jufi8rJwpZKS8FcAbSp83Kr8c5JyZlYXT/YP\nhRC+ts8jjUIIa4BpQN/YsUTSBTi+vHY9HuhpZmMjxxRNCGFl+X8/xJfAV9mgMikJfx6wr5ntZWb1\ngVPwTV1ppVHLFvcBi0MIt8cOJCYza2pmu5Q/3wk4Ckjl5HUI4RchhDYhhG/huWJqCOGs2HHFYGYN\ny98BU2Fj6z+quj4RCT+EsAm4BJgC/BN4NISwJG5UcZjZOOBFYD8ze9vMhsaOKRYz6wKcDhxZvuTs\nZTNL66j2G8A0M1uEz2NMDiFMihyTxNcCmFk+tzMHeDqEMKWqixOxLFNERGpfIkb4IiJS+5TwRURS\nQglfRCQllPBFRFJCCV9EJCWU8EVEUkIJX0QkJZTwRURS4v8BE8+Z8m4qNSYAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x6559369470>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# 1D: works!\n",
+    "x = np.linspace(0,5, 100)\n",
+    "plt.plot(x, funcion(x,1))"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "![matplotlib](./static/matplotlib.png)"
+    "In oder to plot the 2D function, we will need a grid.\n",
+    "\n",
+    "For 1D domain, we just needed one 1D array containning the X position and another 1D array containing the value.\n",
+    "\n",
+    "Now, we will create a grid, a distribution of points covering a surface. For the 2D domain, we will need:\n",
+    "- One 2D array containing the X coordinate of the points.\n",
+    "- One 2D array containing the Y coordinate of the points.\n",
+    "- One 2D array containing the function value at the points.\n",
+    "\n",
+    "The three matrices must have the exact same dimensions, because each cell of them represents a particular point."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 64,
    "metadata": {
     "collapsed": true
    },
    "outputs": [],
    "source": [
-    "%matplotlib notebook\n",
-    "import matplotlib.pyplot as plt"
+    "#We can create the X and Y matrices by hand, or use a function designed to make ir easy:\n",
+    "\n",
+    "#we create two 1D arrays of the desired lengths:\n",
+    "x_1d = np.linspace(0, 5, 5)\n",
+    "y_1d = np.linspace(-2, 4, 7)\n",
+    "#And we use the meshgrid function to create the X and Y matrices!\n",
+    "X, Y = np.meshgrid(x_1d, y_1d)"
    ]
   },
   {
-   "cell_type": "markdown",
+   "cell_type": "code",
+   "execution_count": 65,
    "metadata": {
-    "collapsed": true
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[ 0.  ,  1.25,  2.5 ,  3.75,  5.  ],\n",
+       "       [ 0.  ,  1.25,  2.5 ,  3.75,  5.  ],\n",
+       "       [ 0.  ,  1.25,  2.5 ,  3.75,  5.  ],\n",
+       "       [ 0.  ,  1.25,  2.5 ,  3.75,  5.  ],\n",
+       "       [ 0.  ,  1.25,  2.5 ,  3.75,  5.  ],\n",
+       "       [ 0.  ,  1.25,  2.5 ,  3.75,  5.  ],\n",
+       "       [ 0.  ,  1.25,  2.5 ,  3.75,  5.  ]])"
+      ]
+     },
+     "execution_count": 65,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "X"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 66,
+   "metadata": {
+    "collapsed": false
    },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[-2., -2., -2., -2., -2.],\n",
+       "       [-1., -1., -1., -1., -1.],\n",
+       "       [ 0.,  0.,  0.,  0.,  0.],\n",
+       "       [ 1.,  1.,  1.,  1.,  1.],\n",
+       "       [ 2.,  2.,  2.,  2.,  2.],\n",
+       "       [ 3.,  3.,  3.,  3.,  3.],\n",
+       "       [ 4.,  4.,  4.,  4.,  4.]])"
+      ]
+     },
+     "execution_count": 66,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
-    "#### Other options... \n",
-    "\n"
+    "Y"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### 5. Other packages"
+    "Note that with the meshgrid function we can only create rectangular grids"
    ]
   },
   {
-   "cell_type": "markdown",
-   "metadata": {},
+   "cell_type": "code",
+   "execution_count": 67,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
    "source": [
-    "#### Symbolic calculations with SymPy "
+    "#Using Numpy arrays, calculating the function value at the points is easy!\n",
+    "Z = funcion(X,Y)"
    ]
   },
   {
-   "cell_type": "markdown",
-   "metadata": {},
+   "cell_type": "code",
+   "execution_count": 68,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.colorbar.Colorbar at 0x655d17c9e8>"
+      ]
+     },
+     "execution_count": 68,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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KLEh9EnL+dcb/9OheuIFB8wLUFUgSicxhFjWpRSe6aIwfZ0PqEMjZqOquaFqn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\nAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x6559628a58>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "![sympy](./static/sympy.png)"
+    "#Let's plot it!\n",
+    "plt.contour(X, Y, Z)\n",
+    "plt.colorbar()"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "#### Data Analysis with pandas "
+    "We can try a little more resolution..."
    ]
   },
   {
-   "cell_type": "markdown",
-   "metadata": {},
+   "cell_type": "code",
+   "execution_count": 86,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.colorbar.Colorbar at 0x6560f27710>"
+      ]
+     },
+     "execution_count": 86,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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EsoudrGMNrWlLEx7X981WWiBtNGTMgCLzwC1/1ceGKasQEkJuHjcOZzc33H19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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x655effa5c0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "![pandas](./static/pandas_logo.png)"
+    "x_1d = np.linspace(0, 5, 100)\n",
+    "y_1d = np.linspace(-2, 4, 100)\n",
+    "X, Y = np.meshgrid(x_1d, y_1d)\n",
+    "Z = funcion(X,Y)\n",
+    "plt.contour(X, Y, Z)\n",
+    "plt.colorbar()"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "#### Machine Learning with scikit-learn "
+    "The countourf function is simmilar, but it colours also between the lines. In both functions, we can manually adjust the number of lines/zones we want to differentiate on the plot."
    ]
   },
   {
-   "cell_type": "markdown",
-   "metadata": {},
+   "cell_type": "code",
+   "execution_count": 87,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.colorbar.Colorbar at 0x6560fee400>"
+      ]
+     },
+     "execution_count": 87,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x6560c8b438>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "![scikit-learn](./static/scikit-learn-logo.png)"
+    "plt.contourf(X, Y, Z, np.linspace(-2, 2, 6),cmap=plt.cm.Spectral) #With cmap, a color map is specified\n",
+    "plt.colorbar()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 88,
+   "metadata": {
+    "collapsed": false,
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.colorbar.Colorbar at 0x6561180f98>"
+      ]
+     },
+     "execution_count": 88,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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QnKqWMatBS3Jz6Ect87aB7tzT3nHnkA90Mxb0QRkDu60hzjz3Q8AHb0i7bwgD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\nFKUsEuCpOwONVcmt3+xzSUC9COipuCU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Nh8QXaG7Y/HxV/XLqZBYK8lxgQxja8+3j4A3T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\nfZDmE02TXQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x6560ff5400>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.contourf(X, Y, Z, np.linspace(-2, 2, 100),cmap=plt.cm.Spectral)\n",
+    "plt.colorbar()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 89,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<a list of 13 text.Text objects>"
+      ]
+     },
+     "execution_count": 89,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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r45Al1Eooxvg+jUm6mcaxU9dIz7TQul5pvzatAN/6OcC+U0m8t+Yom05eZ0Sr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\nHwEXlf0E+YvfAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x656119bb38>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#We can even combine them!\n",
+    "plt.contourf(X, Y, Z, np.linspace(-2, 2, 100),cmap=plt.cm.Spectral)\n",
+    "plt.colorbar()\n",
+    "cs = plt.contour(X, Y, Z, np.linspace(-2, 2, 9), colors='k')\n",
+    "plt.clabel(cs)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "These functions can be enormously useful when you want to visualize something.\n",
+    "\n",
+    "And remember!\n",
+    "\n",
+    "## Always visualize data!\n",
+    "\n",
+    "Let's try it with **Real** data!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "time_vector = np.loadtxt('data/ligo_tiempos.txt')\n",
+    "frequency_vector =  np.loadtxt('data/ligo_frecuencias.txt')\n",
+    "intensity_matrix =  np.loadtxt('data/ligo_datos.txt')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The time and frequency vectors contain the values at which the instrument was reading, and the intensity matrix, the postprocessed strength measured for each frequency at each time.\n",
+    "\n",
+    "We need again to create the 2D arrays of coordinates."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 100,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "time_2D, freq_2D = np.meshgrid(time_vector, frequency_vector)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 101,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.colorbar.Colorbar at 0x8387cbd710>"
+      ]
+     },
+     "execution_count": 101,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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Jj3etFQ01RaxGJmH/nZqaPKONvTpkNdOn0igbDs8BJWO3taYypyndA5IYWX9b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IFDFx08/fPOse/rHxhSLE0/T0SvBPBpRPRtAN4M4MfXLVYakqLm2CxI/ymvxJyzkn0KQjOnqSHg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\n4P8D6Bd+JI56E60AAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x838786bcc0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.figure(figsize=(10,6)) #We can manually adjust the sice of the picture\n",
+    "plt.contourf(time_2D, freq_2D,intensity_matrix,np.linspace(0, 0.02313, 200),cmap='bone')\n",
+    "plt.xlabel('time (s)')\n",
+    "plt.ylabel('Frequency (Hz)')\n",
+    "plt.colorbar()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Wow! What is that? Let's zoom into it!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 103,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.text.Text at 0x8387fc1da0>"
+      ]
+     },
+     "execution_count": 103,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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+9dAhthw6yPHDW/Og5AdMmuWiCwSmEEASaTVVuadcHpZy7vWqFcoCKKEZJmQp\nbjEDEwTttAUqPJECIyuYNmww9552Er9Ys54r/v48H58yjQ9NmIym65bVyexPzfrsBIsHW53Agadi\nXHb5+vG/3kuxPpVL/cnqFCYLcmZ6lv3E8/1TPts9jys9q2vdHqBgqhBrlN4sn+VbMKGtKCXQRPmC\nxr311MIDqD9IPaZSACrK6lSsmy5WTFJEMHihBaJncVTqjdYV0BowIq5g+16+bqJACYq3Lnnr8IOl\nQmArtHaGjaSz6yrG2uTVUzu3c9boNmtOPifTtxeY9LQRCEyqlckFSJCHIMOQrGzfz1/W7ua5te0c\n6Mpy7sw2zp/dxtSWwQg9BTk7pikXYIUSCEP6wJO0QElgIPOj7UTOSVMgsoKPTJ/EOWPa+MKSV/n9\ntq18e958pg1uMtvn47ILszqp8OSNd4rjslPPYxg82aoWRNWa1SlsXsOBqAEPTZWMT/EbApuoZ+oJ\nQIU9vPqimy6wngCAUuurRUWBEsS3LkVZltTrKBfgjtT1YJexcy2Z1qY4bro6XfgGg/9h53Y+OGUS\nQkgnJ1MIMIm0KACmPCi5QF2yfOc+nlvTznNr23l+3W6aB6VZNH0U7zxqLI11Oo+v2MZ/PP0GzYPq\nuGB2GxfMHs3JE1pJN4QDVBg82ekKDCQa5Efa2VaniUMGcecpJ3DXhk384+IXeP/ESVw7eZqZGLNI\nq5N9Lr3xTlEuO+81EAZP+euhyhA1UKxOfU0DFpqqHcybAFT5VQpAlQJOcaxAlXTR+dUfd5LZatx0\nSw2MjQNJ+bIRgd5+1qViYMkvpskLU16IsqdO8YJTMTC/N9vF8r17Ob1tZH6Z46LzByaR1guBSRdk\nkCzd0mFC0rrd/G3dbkY3NXDq1JG855gJ/ODqYxjb3OiKUbnsuAkYWYMlmzp47NWtfPmxFazZdYCz\nZ4zigtmjOX92GyMa6sz25CQyk7OOVjNjnyzbEmkTEQvhyYl38lqdrp48ntNHjeRLS5dz2d/+wreP\nnM/sIc3mefILFPcdYRftsrOvKdVlZ34vDZ5sVQOiasHqFJQ4daBKSNn3OkQIIX+hn92jOnp7BFSl\nwKm33Sy9qWIeVkHnP8ja5Fe3tw4vNHlhwm/0lF87go6jVCgLskoFAUpP6y1GcSDJvTzauhQWs2TL\nBqJS8r3Z14immQ9zM9bIzKhtfjeXpdMCTRekUlY5HerrNbN8SpIVWT6/Ygn1usYPjpuPXme65vS0\nf+JKl0sXTbDRAAAgAElEQVSuQUdoJkAdMgy++sRKfvH3DUwaPpjTpo1k0bSRnDZzJKOGNuQhyRUo\nrgTumPADWP2zreMQT6zcxu+Xb+XPq3dx2fyx3HDGdKa2DLasTDlzVF1OmttaKQvskXbSGmlnGGag\nt/3ZjnWSBvkRduZn+Mnqtfxy7QaePeNs8nPeWWXVuQmd8y4L5iCMmyHef87BwuugJ/foSgCUkZNc\n2v4kUsqqPbyEEPKUH4bOKhKq5z99XlXbWw0NWEtTf9RABiYoLi4oyOJUTmtTnCSXfu0ICoAPSmoZ\npZ7CUbXqjQIlW96cO+pErUbOHQTstvCqtSgj4ELkvRbscxIHljRNASsLmMx54uAQXXxiyUu01Ke5\n+eh5gcCkpyzrkqZBWs8HfAtNIBpSLN2+lw/e+RJHjm3m9W9cGA1J4AkE1xBWJ9rwNGZ4Ix88ZQof\nPGUKu/Ye5r+fWc3pP3qGD584iW+cOweBDgEWJ1nCPUgIwbGtrTy2ZXt+WdgchzmXtc8/Ns2sIxqY\negpL1YhzSlx0taUBC021mG8nUc9VTXAqNSAcwoPC1f3Z8k7s25cUBnlxQSlMKjip+/TWrbpenP4M\n3o/3OrK3z+dSigFMdQ0C3QInG5h25w7ykZdf5PgRrdw0fw519bghSZOkLHjyC/gWaZ2cgO89s5of\nPPsW33nPAq46YSJanR3X5A9IrnQDNlBlbNBx4AnIA9TIpgZuvPhIrj9jBkf9++NcffR4ZrUMCeyz\nUrW7u5vWurrA9YUDBdR1PgMEIoCpGFjqjVF0tQRKiXvOrYpCkxBiHOake22YI1N/KqX8kRDi65gz\nD++0itp5FhBCfAn4MOZsxp+RUj5Zqfb1FjglMU2VVW+CU9C0KkDkaDpbYQDVWxMk90RxIS8OKAX9\nduznvRo86w0AthVsfQoup4KSrfr6aOuSrplZr82s3bCxax8ffuVFrpo4getnT0FP+wOTVo9pXdI1\nRL3uWJfSOusPHOKjd72Mpmn89UvvYNLooWYHRAESIDwu43y4tQJP4NjfbHgaPqyez50zk3978nXu\nuPq4UGsTacDK5xQ359eerq4CaPJOEO0999mMLBqYoqbVsVVtUKolSEoUrkpbmrLADVLKpdZcMS8L\nIf5grfsvKeV/qYWFELMxE1LNxkyb/pQQYrqsYOBVtcEpAabqqJJTocQBJ/CHpzhz0oUBVF92wfqP\nDCzf8fiBk7nfwrJ+7juv/EDJPl9R7rh02ol3EpbbbenePXxy6Ut8cc5MrpgyDi3ldsPZAd9aPa5g\nb3SBVp9CanDHss184eHl3HDOLD537kxS9Smo0x1ICgIktRNSzr8Bkc2BYY5zExkjP0rOD54+ceZ0\nZj/9Jsu272X+yGGB/ebqQ12SizHh8x7L0mR4ynoni/adhidmDJNfegp33ZHNdO93gIBOknLArYpC\nk5RyO7Dd+nxACLEKc6Zi8A8muAS4S0qZBdYLIVZjzn78YiXbWS1wSoCpNlWstQniueriWJ383HXe\nttmqFtyXcp3GaVtPAamYdkUN1y6c7Ni9LAiUzG0dN50DR27rUj7myYKiP+7axr+ueJXvHj2fc8aO\nJFVnIJSRcb7ApAR778lm+fRvl7Ji+34eu/50Fk4bkbcuCaus78GlApbn1wPoJjzpApmTgfA0JF3H\n58+bxTeeXMX97z/RsTZ5+lloIm9twrCyn0eAU/uhbkbWN/iu83PN2VamYidujjNhs7e+ga5Uqo/F\nA1RYVYtpEkJMAhZgAtCpwKeEEO8DXgL+SUq5FxOo/qZstgUHsiqqJMap/6mSbjq/+oPACeJZnWzF\nAahaU9y2VTqbvjcwPEqqKy8MlMwyIn8e47rj0AxuWfsG927exC9OOpaFI5p9gSkf8J3W8+44rT4F\nuuCPa3Zx7T2vcOnCcdz64RNpHFxnuu3SGqQ106KkaQ4gFQzj9PSDa7SCMEe/pYAspntN1/PwpNjr\nAPjooml876k3+PvmDo4f02x1lnC56PxIRPNfnNee7m5mDR1mnZPC8xZ1fRQLTEFtqWVQ6muxjP1V\nVYEmyzV3H2aM0gEhxP8A35BSSmvCvO8CH61GW8JUSXCq9AOvL7ttKqlKg1PcOoKsTn4Pdu8NPWyi\n13KqXHEcYe2tBvj5BYYHyQ+UwN+qBA4s2cuC3HH2CLl/WraEfdkMD595Cm2N9S5gKhgh5wGmw4bB\n155Yxf3LtvCz9x3HOXPHIBpSeesSdo6mlG41JsAdB26Lk1qmOwPWRCi21YlsDjs1ZT7eydpkUGOa\nL18whxufWMVjHzkZgY7sygb3r+YEbQtNQsCoOG8guDeeCdyuOdXKFARMceYiVLf3UymgUo58bbUE\nSEkguFsVhyYhRAoTmG6XUj4IIKXcpRT5GfCw9XkLMF5ZN85aVqDfGWvzn2eJFmaLlrK0txLgVMsW\ngoGgcsQ3FZOKIAycoDAtAYRbRXoCUb0x8idsn9UCQBWc4u7Ta1Uy383vQbAU5I5bc3Afn3jlJU5v\nG8FXjzqa+pRGqs7wTSlgj5AT9Xp+dNyqPQf4x18vZuboYbz0lfMY0TLI37pUlzZhyW6oF44KrE6e\n73VpKwFSzt/qBE68EyB1jfefMoX/ePJ1nlnXzukThiM0ERgQLrs8u/eJcTIMO6ap3rXcG88EjmvO\n+V4aMAWBUjlgJW4dfiM8vXots4cVmT09b1SisqkalqbbgJVSyh/YC4QQo614J4DLgNeszw8Bdwgh\nvofplpsG/N2v0ku1KRVrcDnBKQGm2lBccCpXxvCw+e7CYp1sFQNR5VC53RJB7a8mUEXVV5ictBCU\ngAJYsrf1c8dpuuTJnVv52srl/Ou82bx34lgrB1N8YHpxWyfv/cUL/PslR/KBU6agDUqHW5fq0p6A\nrJhWJrAsTeRBKcjqZLvsMCR1DSm++s65fOOJVTx17amIdLC1SWgSTScyGHxPdxet6cKUA2FQUQow\n+V3nvWXVibPfeelW5qVb89/vObw2pHRllASCu1XplAOnANcAy4UQSzCTonwZuFoIsQDzF7oeuBZA\nSrlSCHEPsBIzaf4ng0bOVXJ0FCQxTv1R1QansLqiElX63dzLOV1JpRUahF0EUJUTpILOaamw5HXH\nSc3ge2te58GtW/jlScexYESTaXnyJK305mBSgemP69v5wJ2LufUDJ3Dh0eOcYO963R27ZEOT/V6X\n9h5UwXEKUXj8UrU0gQlOGgVWJ7AsT5pA6hpXnTCRmx9fxVNrdvGOySPz1iYyWG5Ce+rewutAaIBy\nrqWUzui5gHgmOwO4NwA8CJiKmWLHb3+lqL8+LxJocqvSo+eeB/yiQR4P2eZbwLfi1F8NcILSfwyJ\nlanvqtzgBPGtTkGqFPxU8p+273D/iAmFVcUJkPdT1G9WPU9hsGSXtWHJbEdhOoF92S4+t2QJGZnj\n0TNPZsSg+oKUAgVJK9O6k7CyIcVDq7Zx3X1LufvaU1g0Z7STSsB2x9kWJdsdZ3+3wKkAioIuLE/K\nAQnOk8D2GRVYnTCXpU1rU6o+xdcvmseNj6/knOtOz1ubRFpzpmVRFDaC7mAuhyYEDVo6dl4nKB6Y\nKgFKUXX0V5AayOrzGcErDU5QmtWpmsCUBIHHVzkCw8GZu8wLT2H1B8FT0M28XBMAlwJF5Uo74Lfv\nYmO6yiXveYkLS+Y6f+uSpkveOLCX65a+xLlj2vjyvJmkrfgle71v0koPMN2xdBNffuQ1Hr5+EcdM\nG5EHJtGgWJS81iULnITwjJ4rPPDgTknhTI2rWJVc7jpNz1udhOFYmy47ejzf/v1KHn59OxfPGG1a\nm7zpB9ICzTBjkYJG0O3uig4CV2XOadczYIocjee5p5b6jAnaTy0/T7xKp2soKr0G1OehCWoPnBIL\nU22rnNeLn9Upqv64Fsww2IkTRBpH5bxW4/7TDguIh54DVFCskvPd+ewN8FbLh1mXbCB6bMdmvrFq\nBV8/cg6XTjgCoRGeg0kTBcD0v39by3f/vJonPncmc6cMd7vjoqxLugNTh7uy7Op4m12dh8z3joPm\n+x7zfXfnIXZ1HmTXHnPZrCkjuO+772VMS6M5Sk5YLjYVnKy4przVSdPy1ia9XufGi47kqw+8yrtm\njkZL60hDutMPBJiONE1iWKn6dnf7ZQM3J/n1c83ZKhaYwq71qD+eUeuLvZ8kz4i+q34BTVB74JSo\ntlWO+CZbQeBkq1jLUxwVA0zF3qB7arn05q7yUyotQnNYQSE8BWVQ99brbYPTLuezal0qBZYMcty8\n+nWe3LGNO045gbnNQ/OT7kYCk5W0knqdm//8Jr9cvIGn//lsJo9rcoAp7bEshViXtnUc5P/9+6M8\n/txbjGhpZGRrIyNbBjOydTAjWs33Y8a3WssaGWkt+/Fdf+fEa27lwR9eyYIZbdCdMa1OeRedmS3c\nZXVK6S5r0zvnH8G3H1/Jfa9t5fK5RxRYm4QmEJqRDwb3Szuwpyt83jmvjJxUXHOlAVO5rfPlskzV\nopKYJrf6DTRB9cAJKp+kL1HlVWlwUvdjKyzmKUhxoKqU665Sbt04DxC1T4Piuop13QUBk7duv/QB\nru0tV5y9zAtMmw4f4IvLl9GQ0njkjFNpHZT2Dfj25mBSs3xTr/Plx1fy5Bs7+NO/nM0RbUOddAJp\n3Z1KIKVDKuWOXbIsTvc+tZLrv/V7PnbF8dz7o2uoqwu4pft08FeufwczJo/k3Gtv59abLuaiRTNM\ncDIME5z83HWadFmbtDqdmy4+kk//5mUumzvGDGBVk13GiFHySzfgJ28GcFtxgSnqes/FjKeKk7Ot\nP0FUAk1u9StoguqAE/g/SBNg6nuqFjip+4PibqI9va6KgaO4D44oqf3gt39NE64/IGGjCdUkoHGs\nTe79OJ97al1CGNyxcQM/fOsNPjljGh+dPomULlwB33GAyajTuf6BZby2fR9//OezGD58sD8w5V1z\nhdaljgNdXH/zEyx+bQsP/O/7OPHoScExTSG6/F0LmDi2hcs++WtWf2APn7vmBISUiO6MPzgZhdam\ns2a3MaZpEHcs3cwHFoz3nVpF08CwgsG9uZp2d3UXpBvwc8151xuGjMzBFARMPbnO/baN+7uHvg1Q\nifohNEHvglOivqdiwAnCLT9xs4dX6iZaLUCKil/y1h3kvrThKY7VKcziFJTB21ZPrUtbD7/NF1cs\n47CR475FJzN92GBzXdQIOSulgJ3lu1tKPnL3y7Qf6ubxz57B0OZBhcBku+MCrEtPvrCWj974EJec\nPYclj3yGxqGDrHH8lkQRVJnWOGHhRP56z//j4mt/xRsb9nDL588jXZd2j6yzwclObZDNuaxNN148\njw/9/EWumj+ONIAuzPQDuoZIy4Ikl6r2dHcz3Eo3IA3/pJbgBIBnPNeeHzDZ0GV+tsAqxvVeauC2\nWncxAGWrlkEqlU6MAar6JTRBdcGpN5WMnCuPyjWqDoq7gdr7rqTiwlFPr+WwyYWDIMru97hWJz+F\nAVOQdUmFJQi2LkkpuXvzBr731ht8bOoUrp0xhZSGb8B3FDAdzOW4+s7FpNM6D35qEYOG1lvB4Equ\nJQ8wCd2Ja3q7K8u//OBpHn3mDW771ns457QZFlSlQI95K/cCVbYb0mkmTh7Fc3ddy9Wfu4sLr/8N\n9/zHu2kZUu8fIG5bvhRr06kzRjFj9FB+8fIGPn7sJCf9QJf7xPuNoNvT3c3UpqGBTfYGgINjZSoV\nmIq91r3ly/n7h3j3gFoGq4GkMqaOqz0lQJGoGBVzvWQzMtaNN5dzXtWQur+w/drtV19emTEkxb2C\n6g9qp7ofeztn/5725ApdMWGB3/lJdZWJddWcS7Z1KQiY9ue6+MiSF7h360buPvVErps1hXQK9Drp\nO0LOTimQz8FkJa20gemSn79A69AG7r7utGBgqkubwFSXdoCpLs2S1TtZeMVPeftQN8se/SznnDkb\n0mkTmFJ15nucl9Dcr1Sd+RIaw1qH8sBPPsCc6W2c8sGfs63joO8oPfPdtHyJBhMKRVrjpouO5NtP\nvcFhwzDjtiyZweAycA6zPV2Fo+fM8ywLBt9lMv5xTXGAKex6LKjPKAQ1VVHXd/4Yyvj7763nmabJ\nkl/9Uf0amhIlKlbF3piK+ccaB2aKVbkACQohqRQFbR+0b7XNKjg5D77iRgqWktsqyGrwXPsuslJy\n/6knM2NYoSXEhgChud/zQVe2O1EX/PLljQwZlOa2D55AOqWZ69KaG0LsmKSU7opf2n+om3ffcA9f\nve5Mfvmdy2luHeJAT1wLU0ylUjo/+OpFNA1pYMnr290dGtC5QhOga8wZ18S+riyHMspJjbCOSCl5\nY/9+JjUOzi9TwUdd5k3u6s30HQVMXsWB/7i/iWIAqq8pgSa3+i002f8q+7MSS1plVElwUlXMTdTP\nglTuG3A5fy9BdZUrBjAXMDKqnNnN93R3M3XwEFJ+U5LkXX3ud9vCItKa9W6C0B0vb+JTZ043+0XX\nTOuLDVV2sLf6WcnF9MXvP8UZx0/mfZceo+7IBCYbntQ6eqhMV4YVb+3kpPnj3B1qE2w2Zya7zJoB\n39KQkDP4w2vbOXZ8Cy2NitXIMNdLQ2DkRMH5WbP/IFLCxEFDgMJ4Jj/XnL3cT17Lo+0e87vuir3e\ni3Hfh6kvglMiR/0Smvo7LEECTLWmnsQDBQFRtV17UJ7fTjHAFDfmw1YlppIJOnedmQwtitvIDvyO\n/Adtg5P1vqbjbTZ2HuTMmaNMmLKtTOBYmSAPSkKIPDD96aX1PPTnN/nuFy90QEoo4CTKAEs5ZbJd\nw+DlFVuZOr6VliEN+cWuKUBteDIMyBiQk8iMwYNLN3PxvDHmd0NaKQcMpNdqlBMYhhn0/Zdd7Zwy\nYiRCiIJM4EFTqrgsQbmewXKlnhX9CZw0XZb8CpIQ4nwhxOtCiDeFEF8IKPNDIcRqIcRSIcRCZfmt\nQogdQohXPeXnCyH+JoRYIoT4uxDiWGXdUUKIvwohXhNCLBNC1FnLjxZCvGq14/ux+iNOob6igWJd\nSoCp8iqlj+PGS1RbxVp3evIbKufvLyy+KUyGT3CwuVx92EbX09HdTWtD2ox1EoXn1XbH5d10aj8r\nrrn7lm3hsoXjSKX1vJXJ3FABHjV5paUDhzN89MaH+fFNl9DSMtgBJj+3XD5uqchbukoq1qS9zyxe\nx6JjJjjL8wmPcoEnIpMzeOy1bVw0b4zvesMaFScNNxw9t7OdU1pHuCbqtVMNBNVTbsW5ZivxXOmN\nP0W1ICGEBtwCnAfMBa4SQszylLkAmCqlnA5cC/yvsvrn1rZe/QfwdSnlQuDrwHesunTgduDjUsp5\nwBmYYzux6v2IlHIGMEMI4VevS/0CmgYCLEFiXeorqkVwKlal/J7Ctqlkao64yQuLVWemm+Z02ndd\nZDwTjmvu3qWbufzYCY6VCUzXnG1lUt1xkP/+pR88xWnHTOSdZ82OcMuVN67p2b+vY9ExE80v2Xy0\nfqhr7rk3djJ5eCPjhw5CZnKQk6GuOSMryOQkL7Tv5uThI5zlXmuTldDSL9VAOVWJ50ep8Y61plTK\nKPkVoOOB1VLKDVLKDHAXcImnzCXArwCklC8CTUKINuv7X4AOn3oNoMn63AxssT6fCyyTUr5mbd8h\npZRCiNHAUCnlYqvcr4B/iOyPqAK1rIEASrYSYKq+epK2oidTpNSKyvX7qlQfFJvoshhpmqQzk6G1\nPv70Ht54JoCVu/bTeSjDydNGOo21A8C9VibIu+aefWUjv/vj6yx/+NPx3HL5ICsrqVIck4xq8rE+\n5zJZnl+ykV/82yX5OlyuOVse19wDSzZz8bwjAlxzzvlXXXPLOvcyblAjLekGjJx/PFM1pWmi7DmU\nSsnlV0rKgkqqAgHdY4FNyvfNmCAVVmaLtWxHSL2fA54QQnwX86I72Vo+A0AI8TgwArhbSvkdq77N\nnnaMjWp8n7U0JcCUqC+oVl121VIlgCluXFOmRPeerT3d3TSnC6EpKAjc/KLEM+mCe5Zu5r3HjEev\n1/PL81Yme2Ml6Nt+3fjjZ/jWP50bzy1XRi1dtY2xo4YxsrnRXOB1zfkMZzQMycPLt3JJsa65He2c\nPMK0MqnL/VIN9ERhweBeFU7B0/Prt5zxjolC9QngM1LKCZgAdZu1PAWcAlwFnAZcKoQ4s9Sd9GlL\nU39XAku9r3IlSQ1L/NhfFXWc3n/R5fhHb5+voMziatkg2a63zky3KxDcbKPbHRcUzyTSOlJK7l26\nmV9/5KT88ryVCZw0Ax4r09I3d7B6w26ufNeCeG65YjKA+8kmFsPg2ZfWO/FMMV1zL6/fzeA6nVkj\nhiIPZ2O55qQU/GVXO5+YPK0gnqm3FWRx6on68uwRYQHdXm1dspJtS1dGFdsCKEFzjMNxpallxkeU\n8eoDUsrPAEgp7xNC/J+1fDPwrJSyA0AI8RhwNHBHCfvou5am/q4EmGpHlbiB1sLDoZIq1wMiKhjc\nm126WAUFHAN0dnfTUufENGkp/7JqPJPqmluyfS8SOHpSa3CaAZ9UA9+/40Wuu+YE0vXp+G45NWFl\nMQHh6sg54NnF6814pjDXnEe/eyXMNefIds0BHMhkWbF3L8e2tDrrfeKZekuViJPt7795gCMWzuGY\nD70n/wrQYmCaEGKiNYrtSuAhT5mHgPcDCCFOBDqllKprTqD6fU1tEUKcbm1zNrDaWv4EcKQQokEI\nkQJOB1ZIKbcDe4UQxwshhLW/B6OOMYGmGlQCTLWnSpyT/gpPvf2PumDKjRLSFHQZOboNgyEp05qj\nGnO8QeDmZ3cGbHTBvUu3cPmxE9DqdP80A95klimdbbsP8PCf3uDjV55gVxbtlivF0mRO8uZ8z+Yw\nDIPnXlrP6cdOMpcFueaUeCajO8eDr27hH+Yd4bsbP9ecNOCF9t0c2dRMg5a2lqlxT2pwf+lB4H7Q\n09vXZl/8vad1WfLLT1LKHPAp4ElgBXCXlHKVEOJaIcTHrTKPAeuEEG8BPwE+aW8vhLgT+CvmaLeN\nQogPWas+DnxXCLEE+HfrO1LKTuC/gJeAV4CXpJSPW9tcB9wKvIkZnG4vD1TinqshJbBU21InmS2n\nipnXqlSl0qIqN+xqPZT8JvCN4wKJ627t7M7QlK5DCOGbbiAwnslqk2GYrrmHP7XIP82AXzJLTeO/\n71rMle86itbWIY6VKYZbTugWfOSskdTFBIRbWvHGdlqbBnHEiCHOdhGuuVVb93KoO8cxRzSZ88zF\ncM2BlZ9puH88U5AqkW6gN9TXXHWVCB+24GSmZ9lPPN8/FbDt1QHLnweODVh3J3Cnz/KXgSPjtdpU\nYmmqESXA1HfU06lGohR3XqtaUzEPgnKOCgpz0ZU6TN2OZ/J6ufyMOiItClIN/G3zHpoGpZk7rtlZ\nrqYZAHcyS+DQ4Qw/u/8VPvOBU4Ldcl5g6mk8E+Sp5dmX1nOaN54pQg8u3cJF88bkjyFIqmtOSsHz\nFjQVG89U6m9Ovd5qAVj60u86kVsJNNWAEmDqu6pGstG4c8dVW6m0cL1qTYUxMp7vIVywxxPPBMFB\n4LZEWitwzbkygIcls0zp3P7Yck6cP54ZU0cVuuWC4phwrEzez0XJMHh28XpOP2aSO54pxDVnZgHf\nwsVz/eOZglxzOw4dZsfhLuY1Nau7zyto6hR1fU9VC9drrfyOo6SL0l/9UQk09aKS7N79R9U+l6Xc\ncL2Q09NXKdL14q1MQcHgfrFK5Up0aSa2dEbOeYPA1aSWQhMu11w2Z/DbZVt47zHj3QHgfmkGrO8G\ngu//+gU++6FT/N1yZiPUBphvNiSp5YoJCJcOIOWDwMENSQGuuY3tB9iw521Om9gamtDStibZrrnn\ndrZzYutwhNSsJrjjmfKfK+yOqxVwqrU/Q4nClcQ09ZISWOqfUs9rpXOJ9aUEmpVO0heV6NIvBspP\nNnd0dmdobSi02kQNvxZpnWfWtzOhtZFpo4cpG4anGXjib2uor0txxknT3I2JEcdUtIvODgK3R85l\nc7y5rp36Op1JY5qgOxO+vaWHlm3hwjmjSemaaWEKkeqaM+OZRuabYssvnqkScw2qqlasX1xVI76x\nWPVXi1GpSixNvaAEmAaGKh37ZKuWbvpelWJZ6qni9EdUmY5MNy2WpckbPqTGcNvxTG7X3GYuP25C\n4eS8EWkGPvehU02IiumWK1hmvYSeLjr9wLN/X+tYmSjGNec/QW+Qa05KyfO72jm5iHgmv7i0nqaa\nUFULYBKkxBJVe0qgqcpKgGlgSgWoSqUvqDXVwhQQUFoweEd3N811wfFBQRanrmyOh17bxnuOnVDo\nmgtIM7D8rZ28tnonV77zKHf27zhuOWVZT+TKz1QQ/FXommvfd5glmzo4Z9qoolxzb+w9QJ2mMbGx\n0am+iHimSqmWwam3ldZKf/VH9dnDqmYcRrmUAFMiW5WAqFr5N1pp61JQXJOf9cEvLiZOf3dku2mt\nq8unG/AGgduf1XgmkdZ56q1dzBkzjHEtFhSoAeABaQa+f+ff+cTVx1PXUOeOZSrGLaeClp+1KUjS\nQOZyPLN4ncvS5Ipn8tGjy7dy1vRRDEpHn2jXqLl2c+oUWWQ8U6nxTaqLvFYgvq8pCQR3q89CU6nq\nLYBKgClRmMoNT72hSsJSKcfUk/7s7M7QXOc/Wa/wmcA075pbtoUrVNecLb80AymdnR0H+d1TK/l/\nV53otjJFpRcoNuVAiItu/eYOslmD6eNbTItSDNecOUFvca45sPIztcaLZypVpd7be/tPdaK+oQEH\nTaqqBU8JMCWKq3LBU7WsTjYo1dq/+KBjD7JYeMvvzWTy2cDtkXOqS84bzwTmqLlHVmzj0oXj/EfN\nedMMAL94cCmXvmMOI0YM9c/8bSvMLVeMe04NAreo5am/rmHRsZMicy3Z2n2gi2ff2sUFM9qKcs11\ndHfz9917OClmPJM3CLwa99EEnAqVWJrcGtDQlKh3Zc/vVIlXX1eSjiK+olx0YMY1+Y3EMnJuK4dt\n/SRbwmgAACAASURBVDimpYU/7dhplskWXk9+8KVrgpFD6tm+93B4pLKy8di2oexsf9tZ55kLrqBh\nfsv81sVU9nA33731OT562cJCy1JAqoGvPfAq1xwzgZZGf0ucKts1lzXg+sVLuGL8BJpT9cp66z3n\nH88UFo8WNLLOnaIi+Q0lKq8GLDRVc0RCf3iIF6veBpv+AFF9od25eImjYykKFNXfqzde2Q+c7Iew\nX3yMYRT+9p0HuODKcRO5f9NmDmUNa53IW0fsOByZkZZLykAaEmHAhXNG89hrW61yEpmTLvjwNubi\nRTN47uX1dHS87YYfwwAja74UOJK5jDlViheYbAuS9cqXkXY9RqGVSRr8+oFXOGLUUM4+blIs19zi\nN3bx8LIt3PiOWcjDWfPYu3LITA6jC7IZQS4ryGU0a9emi+67K9+kOyf5l+mzMHLCaoY53D9nnQv7\n3Hvnm7PPl31Oc4b7fHsDyYMU51qthZjAWlNaL/3VHzWgoCkZulkZ9QVLT623rxLqq66GqAD5OMku\ncy7+MMHJz9qUzUiXtckGogmDhjBnWBOPbt7m4RLH9WTG7Ljru2D2aB5bvs2K8ZEmbLgPzgUnQwfX\nc85JU/ndk6+ZsKJOpJunuKwbisANRXEsTT7A1H2wi2/86I9845NnIKSMtDJlD3Zz/V0v828XzqW5\nLh0Zy5TtNsHpia07+O2mzfxw/tFo6Pl+tIHJyFERYFKvn3LC/UBT4p5zq99CU61NPdGfHtT9AUBq\nvd213j5VlXwgBcFTXHDy/u5tcFIfxt46bQa5evxE7li/ESlF3kXntTaZC6UVIJ3jtImtrNy2l137\nD6sH4WMac5Zdfu4c7nlsubNOiTdygZPdONWa5FkWaGUq6MAct927mFmTR3LqgvHRVqbuHD//y1rq\ndY1rFoyPjGUyLHBas/9tvrhkOT9acAwt6QZyGZEHTxuYXNbDXgSm3n5GJOob6rPQ5AdFtQJI/VV9\nGZL81J+OxatqW5lyucrDk1dxp1eJ46azrU22tcTICc4cOYothw6xau8+kz8MNzAZhttFB1Cf0jlr\n+igeX77NXB7DRffOU6fx4qub2dW+z201UsEpjruuCLfcoYNdfPN//sQ3rjsjVixTe8chbnz4NX5w\n6Xw0SaSVycgKDmRyXPviy3x22kyOGtaat84ZhmPhU8/NQLIwVSvxbTlkZ9Uo5dUf1WehqS+qrz6k\n+xssqarF46rFNsWVDU/qq1zye8h4wcmJSzKXx3HTqfFNqrVJQ+eK8RO4fe0Gs5wVn6NaVFSLk7Qs\nTqaLbqv/1CIKmNiWncGD6rjgtOnc/7jHRed1v0W46+ICE9kc3/7xnzn+yLEcO3tMLCvTtx5bwaVH\njeXItmGxrExGTvL5V17lqKYWLh87MR/HZAOTGsdUC8BUrT/aftdwX4GnRKYSaEoUqP4MS6r62zHW\nWixTuUHKD5z8rE4qOIW56fLb5bzbC947djwPb9nG/u6cta7QPScN6XLRnT+7jT++voPubM6Ja/LN\ntB3golPnhfMGfIe465wy4cD0/OJ1/PTuxdzypQuirUwZgw079vPrFzbw5XNmxg7+vn/jVtYeeJsb\nZ89DGlpBHFP3YTcwubuk/1mY4oBRrcKTLmTJr/6oBJqqrL7wgB4osKSqVo63VtpRafmBVDEPujhW\nJ3A/cKPcdFAYED6qrpGThg/nd5u2+AxYEy4Xna22xnqmjxzC86t35V10ZgMCXHTZHOefNJWlr29j\n2/ZOpZMCwCjIXac2zk/ZHJ2db/O+f76bn379XYwZPiTUyiS7cpAz+OYjK/jYyZNpq6+LFfzdeTjD\nt1a8zjfnHkWdSOWBqbvLHfitdkEmI3sNmCplZSrVBVdr8FSnlf7qj+qnh5WoFA1EWFI1kI+9VlQs\nTIWBk6veGG46PxcdmAHhv16/weIUJyDcC1926gHHRbfNWafGWXlddEBDfYqLzpjJfb9f7rjowASn\nOFanGG45mcvxya89wAWnTuOiRTPCrUyHTSvZ65s6efjVLXzu1Kmxg7+/u2o154xqY+7QFlcckzfw\n2+xHGQlMXiNdrVuYygU9tQZPiUwl0NQLqrWH80CHJVV9vR9qzTVXLoXBk/fhoo7GguLcdGpAuPld\ncNLwERzOGry8p8MVEG6vz6cesIAJ4J1zRvPI8q0Y3UW66H6vuOhUl1uY1Qkcq1OIW+72373Cq29s\n5z8/946CuCqXhSmTw05keeNDy/nMommxUgwYWcFrHft4ePNWbrDyMRnZ6MDvKGBSz2u5gancVqZK\nQE5vw1MSCO5WAk29pFoAlVpog61amly5t/qkVs5FLSsKnmwFgZO9zt9N5w4Iz8+dJjWuGj+R29dt\nNMtZAeE2MBRanHIc1TaMw91Z3ty+z1keNooum+MdJ0xh1ZpdbNqyx9pAsSzZEORndVKtRQHAtGb9\nLv755t9z583vZlCdXuiOy+bMV3cmn8jylTXt/PWtdq47aUosK1MuJ/nqshXcMH0WTan6WIHfxQCT\n91zVmoWp0kqsTrWhBJp6Wb3xoKw2LPkBURxA6k2Q6osA01+tTH4Kgif1YeoFJwh306nWJnU7Iye4\nbOw4/rh9B7sPZ6x1ToZwwDc7+AVzxpguOjWuydl5gYuuLq1zyVkzufcxy0UHbmtTmNUpSNkcma4M\n19xwN1/5+CKOmjYqD0wyp4CSBU3qdClffWA5Xzx7Jo26boJSRPD3fRu2kDUk7z5iQt4C501gWSww\nFQb5F1pdSgWmvmBlqgUlyS3dSqCpBlQtiKkmLFUKdKoJUdUEp74IabWgMHgqWBbhplO38waEN6Xq\nOadtNHdv2ORiFDX1gBeMLpzd5qQeCHLReeKKrjx/Hnc/9qq5zrb+mA1x3v2sTupLtTIZBjf96CmG\nNw3i+iuPc1xwtlsum3W3wWrrMyu28+b2fXzo2ImOlSkk+LvjcIZvr3yDG+fMA0PLu+XUOCYvMNkK\nAyb1fPqd04FgYeptpbXSX/1R/fSw+qYqBTW9AUvVUqUBKoGZ2lBU0togeCrGTWevCwsI/836jeYD\n3uOiy0tJPXDG5BG8srGDzoPd+dUFLjpXY3Ocecwk1m/pZO36doUecoVTrHgDxQPccs/8fS233fcy\nt33jYnOqFNuyFZRiwJDIbI6v/O5VvnbebOqEcKxMYcHfK9/k3LbRzB3a4nLLueKYPMBku0Pd1j/3\nebPLxT3fcZUkQE5UqhJoqkGVE3Kq8dCvhTgkux2VUCX7sFznurf7vlLywlJU1n/1YRrkpjNy3ge1\n+iC3y3i/CxY0NTM4leK5ne2FAeFGYXbwxroUp04dwZOvxXfRpVIal509i3seW+YuA4UuO2+guAeY\nOjre5gP/ci//d9PFtLUMdscxhUzK+8grm9l/KMMVR40zg8IP50KDv5d37OPRrdu5YdrMArecCqZh\nwGS7R92TMhfGLVU683yp6q+uOUjcc14l0FTD6skDtRrWpVoAJa8q1aZKWQATFSrudEhh5YLAyVXG\n46bzc9GpAeFSamb6gXUb8ttEZQe/cNbool10V5w/j3t+/5q7nDdg29yJ864CVDaHzOW49iu/5ZIz\nZ3LhKdMK3XIBViYjk+NrDyznpgvmoEsncWd48Pdr3DB9JsOU4O/wBJbBwGSv94OlcimxMvW+hBDn\nCyFeF0K8KYT4QkCZHwohVgshlgohFirLbxVC7BBCvOqzzfVCiFVCiOVCiG9by84RQrwkhFgmhFgs\nhDjTWj5ECLFECPGK9b5LCPFfUW1PoKkPyDtBbpxXJVWLsORVrYNTOeuq9XMRRz2dN9Jvey84mZ+t\nd098k11GddH5WZsuGjOWF3fvYevBwy4Xna2C7OBz2nhi5XZyCiQFuehsoDltwXh2tB/gzbW7nAZ4\nTWF+LjuzAQD8/L6XeGNdOzd/5hy3NctrXfJYmX7z/DqG1Om8c2ZbgZXJL/j73g1bMCRcNsYd/B0W\n+B0FTOr5C3K5JnONVk/ltjQJITTgFuA8YC5wlRBilqfMBcBUKeV04Frgf5XVP7e29dZ7BnARcKSU\n8kjgP61Vu4B3SSnnAx8EbgeQUh6QUi6UUh4tpVwIbADuj+qPBJoSxVZfgCVVlQKnngJPYmFyVImH\nXlCdYfFNruVGcED4IC3NRWOO4M51mzys4p8dfPzQQYxtGsSLa3YXuui8Q/4t6brG5efN4dPffJS3\n1rUHNdA6KA88ZXO8uWYnX/zPJ7jz25fRkNbylieXW87HypTpynLTI69x0/lzEIaZrFO1MvkFf9+8\n8g1unF0Y/O0X+K2mdLD73wtMQS64KECKC1KVAKz+7JqDirjnjgdWSyk3SCkzwF3AJZ4ylwC/ApBS\nvgg0CSHarO9/ATp86v0E8G0pZdYq1269L5NSbrc+rwAahBBpdUMhxAxgpJTy+aj+SKApUSz1JVhS\nVWtxTuUGpr56XoqFJXVKimKS/UXFN4HbTadmCQ8LCL9740YyhoHhcVnZ8mYHf8TPRec+QNfrm9ef\nzaKjJ3DSVT/lU994mB0797vLeT9b8NR9uJtrbriLGz9xBnOnjPSPY/LGM1ntuu1Pq5nSOpjTJ4/A\n6Mq6EllmM4XB399Z+SbntY1mjk/wtzfwWwUme6Sc20MpXaBUDktSYpGqWY0FNinfN1vLwsps8Snj\n1QxgkRDiBSHEn4QQx3oLCCHeA7xiwZqqK4C74zQ+gaZEkeqrD2ZblQSnYiAosTCZKgWWwtYFwVT+\nIe3jpsvXobjp4gaETxvcRKOeYkXn/ryLzpZfdvCTJ7Xy97W7XfuNctE11qf48sdOY+UDn+QPz6/m\nyn+62yxrH4MfPBkGj/7pdYQQfOK9x/jHMXVnrOWeEXOHs/zir+v49GlTrfQCTixTLuu2MhlZQSYn\n+c36jVw3ZXpA8DexgMl2jeZyxbloeztLtqr+/rvuQykHUkCLlPJE4PPAPepKIcRc4FvAx322vRL4\nTdydJErkq74OS6pSaVGxf5r2TTPoJt7fb6rFKO456MkD0TBk0X2uWzd4zfPupwO5bnYePsyspiFo\nKYnwlBX2HBKWf2LVjv3MHjPMXUYXkNIL5poQwlm+d/9hPn7TwwxvHsztN7/HaphSXm2k9XnB7NFs\n3NaJlOCqOaVDt+G8eyTSGnPGNLF+z0GYisu3omlgaBK7Ri0lSRuC44a3sqSzg7OHNyI0SSotyHU5\n5y2dFnR1mecilXbOvaYLwG1p0nVQWxx1ncQ9v6Xew4q9V0TdAwaKVr64kpUvrooqtgWYoHwfZy3z\nlhkfUcarTcBvAaSUi4UQhhBiuJRytxBinLXufVLK9epGQoijAF1KuSSq4ZBYmhL5qK/FLtWK/G7k\nlQamvuRyqFZbvX1uPpADzo8LDvzW2+vs75K/7m7nmNZWGuyKrfWaLhGa5xh1wQsb9nDS1BGItOYf\n6JHSrQqc2/HqDbs5/uqfMXZMM3/+5YcZN7opEpgAJk8YQcuwQSx9c0dwOfs9pZvwZmnRjJE8t67d\naaMmTAC0JDQ3IF46fiwPbtuCpjvHrGvmvcMPPlNpkYdTe51ZtrBPSk1jUq7kt6XWU80BOdVSMTFM\nR544hys+8+78K0CLgWlCiIlCiDpMK89DnjIPAe8HEEKcCHRKKXco6wWe/wXAA8BZ1jYzgLQFTM3A\nI8AXpJQv+LTnKmJamWCAQNNAp/9i1J9hqRrH1h9vmuVQsS65cijsfIdZkmyQsre3321geHb3Tk4f\nNRKhgaZJFzQAoGuItIbQBFJKXli/m5OmDHfWpzUHkrwNsZZ95xd/5b3nH8ktX3kXdXUpB5i82/gc\nyHmnTefx59/KrxPCB7ZcMCRA1zht5iieW9OOlBKhCRPyMGHJPkZNl2gWPF1wxGj+trud/bkuqy/s\n/rN+B7ogbQGU+lvQNTes2uCk6w7gqooCmGrkiSu1/v5wLyj3hL1SyhzwKeBJYAVwl5RylRDiWiHE\nx60yjwHrhBBvAT8BPmlvL4S4E/grMEMIsVEI8SFr1c+BKUKI5cCdWNAFXIdpP/2akmJghNKk91IE\nNPVr95x7qHHxJvuBpP4MS/1d2Yys6fNXTWtY1G/cr590zVmett7tenTNBibzGIQweHbXLq6dMcVV\nh9AkmgbCU/+GfYeQwKSRQ0yY8mufppnWJkXPvLSBe753RSzrknlg1vbdBuefNp1v/fgZvvyRUx13\nnKYBOaesvUxZPmn4YOpSGqv3vM30wQ35zhFpCVmzqD0wUEtJmupSnDpyBL/fvo3Lx05CGrhcdJrm\nxITZfRrmptM0gWFIFzj5pRzozWvd3ncp17T32vT7cxD5jKrBxJ6lSEr5ODDTs+wnnu+fCtj26oDl\nGeB9Psu/CXwzpC3TYjQ5r35rafIN+kwsTgUaaK64gXSstaBiHy49+Y2GPXCiXHNmmeh9rD5wAF0I\npg4ZDJjWpwKXnBXPJNI6L27Yw4mTR7isPVHxTFvbD7C78yBHzhrt3ziXz0t3A5emcfpxk1n6+nY6\nD3S5y3vK5WW5DbU6nVOnjuS5te2ItF4Q12S65xwXndBMF91D27a4ytkuOsBlbco3OcBNZ34udK0G\nWaB6U+WwblU7v16pSmuy5Fd/VEWhSQgxTgjxtBBihZWh89PW8hYhxJNCiDeEEE8IIZqUbb5kZQFd\nJYQ4t9h9Ro2qqKVRF9WW18ydAESiSqqawOSVfW37PWzVB7hqZfKu94tnerbddM1pmmltUWUChbuu\nFzbs4cSpw514Ju+QIp94pmdeWs+i4yah+QUGeYHJR4Ma6zll4QT++OLaQhedqy5RUMeiGSP5y9rd\nBXFNKhjaLjqAM9pGsvrAfrZ3HXTFO+VddBpFuenMJvoDRKnwpIJXJeAruZcOLFXa0pQFbpBSzgVO\nAq6zMn9+EXhKSjkTeBr4EoAQYg5wOTAbuAD4H+FyyAerWBgaCOCUAJK/+mNf1FpAeLXbE+dfeniM\nk2MZUct645mea9/FmaNHOtvpMh8ErkpY1qYX1+/hpCkjXOui4pn+/NJ6Fh032V3GW16FHdPcZb6s\n5ectsuKa1LIBQwOFLpy4pumjeG5tYVyTeqz2LrWUpCGlccGYMTxkBYTbo+jUvvNK09z3I013LFGu\n5RHwFPdV7Palqr/eazUhS371R1UUmqSU26WUS63PB4BVmEMHLwF+aRX7JfAP1ueLMYPCstawwNWY\n2UNDVSoA9RVw8rMQxXklStQbKgWYKmFlshXkmtM9d7+oeKbDRoalnR2cPGJEPghclUiLfBA4wNvd\nWV7fuZ+jJ7Xm45mExyXoF8/07MsbOeOEKe4y+YPTC4Gp4OA0zj91Ok/8dU1+IuACF12AlWr66KFk\nDcm6vYechbqWj9WyXXTq7i8dP5YHt26xQMtx0Zm7LbQ25Q/Fx01nL48DT5VSOSCqP92Hyx0I3tdV\ntZgmIcQkYAHwAtBmDx+00puPsooVlQW0HK62WnHXJfBTXfXHfq0Fa1NvtCHogRrlmoPgIe/e8pou\neXHPbo5sbmJI2hk/Y0OEt16R1nlpSyfzjmiiIe1piB3PpICLHc+0bfcBdu5+m6PseKYo61LA9xlT\nR5HSNVYq07AUuOhUi5flPhRCcOrUEfxFjWvKA5DSL4qL7rgRzRzMZXnz7X1OU9MCTXf6N66bzgtV\nqnor7qecANUf7zsDTVUZPSeEGALcB3xGSnlAiAK7XdF32t/m1uQ/z6KFWaKlR22s5ui65IdTG6pk\nwsuBqFL7spzB30G/La87qLAez7vPA/LZ3bs4fdQohJCxklq+uMF0zbnimQJccraeeWkDpx070Yxn\nCgMm9449n3MIITjvtBk8/vxb5nQq9rAre7ScOppOrSqtsWjGKP6ytp33Hz1BqVYgNANNN7Oe5wzH\nRScNwSXjjuDBbZv5/PQmM0O6EX2P8xtNZ+RMALVH1PmNVuvNRJJRI/viSL0Wo34zq2QHr0u/adaq\nJ72futlKVcUtTUKIFCYw3S6lfNBavMOefE8IMRrYaS2PnQX0H8SU/KunwGSrGj/CBJgS9Uf1BjD1\nRL4B4BHxTM/s2skZSjyTs11wUssT1fxM+Q3C45lOP36y250WBExea5Mtq/z5p03nib+udS1zfVYs\nXvm4JuC06SN5dk27tQsrrknxowW56B7ZtpWcx0UXZm3KN0dx06kWJ2+ZIMtT0KvSKncclN8xzhYt\nXKpNyb8S9b6q4Z67DVgp/3/2zju+bTp/4++vJDtp0r333ntSoLSUssoolDtWgWPvPY/73XF3HHCU\nA449DjiOvaHsAmW1QMvo3nvvpm060qSxLX1/f0iyJVt27CROnNRPX3rVlmVZlmTpyfN5vs9Hyscd\n8z4BLrYeXwR87Jh/rhDCL4ToBHQFfquCbQwjnRfxLGHKPNS2Y1Idyll1qXXJqEzOZbwiBeybeTSi\n/UwbSooo0XV61a/nCrV0vTcq1PLX9bs5vEtTt58peti/prriCH6YvZ7Rh3exvlAZ5TjXBmvm5Fj3\nmOGd+WX+RooOBmN3QLx8BVWhd5sGFAVCbNxf4npJOMiObX63S3Q9GtSlSY6fWXtssiUtMpRamQ7c\nSqBXOTVZVCWhqszReZlm0dAUWe6pNiKtpEkIMQI4HxjjSOIcC/wLOF4IsRw4FngAQEq5BLPJ3hJg\nMnCtDDsZazaq+8TPIj6yx6Z8qGjn+HSav503r+jSXLQBHGJN4OZj+z3uqIFoeIVario8QL5fo02j\nPI83xA71R1PZtvsA23YW0b9Hy+TVpWiy5HitXv06DO3bhqkz14W/TEw6uMdIPiEEIzqb0QPRviZn\nOrj9cXb0wultYtuqJAPnaLp4xKks1SlVpJNMpSPeIBPIUxYm0j16brqUUpVSDpRSDpJSDpZSfiml\n3C2lPE5K2UNKeYKUco/jPROllF2llL2klFPSuX3xUNlqU/Zkz3zUpmNUFcpPRT+jor+xVG9wyRjA\nvfxMzqiBo5ubpTnbzxRdpnKGWv6ybjeHd2oS62eKVnui8plGDumIajOHZNQlLziWC7dUgdjogWjY\nZnCfYvahW+PoQwcefejs5G9zf4xv15qvt28jIEPhEl0yapMNL+JUlupU2WSisolUpoZzpoJUes9F\nT7URVTZ67lBFbboZ13Zkj1VyqG7CFI14KlMMKYpjAPc53u+VMRSUIWYW7mZki6aeFqJEoZaeiEOe\nps1aH/Ezpaou2ZM93yJIJ43qzlfTI4NmXF6pBBjZrRk/eviavEp0Nlrm5dC3QX2+K9ge3i/JEif7\nWEUTJ0hcrrORzlLWoU6gspEDbmRJUxqRvQlnUZtQ0XIcVA5hSnTzir4hxRAqDwM4uG/M0X6mWYW7\n6VavLo38fuvzI73V4oVa/mKHWkb7mZzbHuVnmjZrPUc785nMFTo2PoosRb8ePU9R6Ne9BcUHg6za\nFBmB5Yoe8DKDqwr92jWkoKiUbQdKPVYfKdHZbVXsEp3dViXVEp25ObHEKZlyXTSqikBVhETVVAKV\nRZY0pQ1VTZhSTcmtSKJubUZtIbqVXaKrjPWlgzAlc7ySNYDH9TPtKmC0I2rAnm8jOtRyb0mQdbsP\n0L99nFG9Hn6m7YUH2FKwn4G9WkVejyZMTpSR02Q/FqrKiUdZJbpkjOD2xykKR3rkNdmKmqK4e+7Z\nJbqxrVvyy65d7A2VhkuYqZTpoomTuS3Wax69Asv4Gmk3U1cmgcpUZHvPuZElTWlAZf9Aq5vYHGok\nq7YQp8pCphCmaCQyf0cjkQHc2cbDy8/0Q0GBK2og0rDWO9Tyt82FDG7fCJ+avJ/ph9nrGTmkg9vP\nBMmpS/F8T3b0wCgzHdw5L/w42gzu9DV1a8aPax196ABnOnj4a1gEUtEk9f0aRzdvxhfbtnqqTakS\np7J8Th67Mi7SPSKtogSqNl1DazOypCkOynuRr6wfY03+AdUGMlUbiFNFyU5llOOg8ghTKjejeMsm\nSgB3+plsFWVbaTE7Awfp17CBq3WKO6dIEB1qebgdahm7YZ7k6fvfHP3mnITJibLUJRtR0QPHHdGF\nH2at52DQGXBZNkZ1ax7rawp/dGyJzsbv2rXh462bHJsYUZvKgpM4JVuuc743WQJlrzddJKqyCFQm\nINt7zo0safJAdcX128iUH0sWhw5sguScMhnJqEyaL6JkRCPaAO7sN+cszU3aspHjW7ZAc/h2nE16\nhSJx5jMd0HVenbmBU/q3dvuZ/L5IUKWigN+HUM3n3/y2lg++Wcr4E/qYrwsFNL/b4K1o7udCcbOE\naLbgYDGNG+bRvlUDlnm1VEmAdo3z2LbvYMz8aNO7+zXoUDePrSWx76tKJEucnEgXiapo6a66kTWC\nu1ElbVTSAa8TsTx/0VYmOaqsH5odz58JP5holLd1QE1DppOGZGF/j+psGVPRthdl/Uajfydeyycy\ngDtLc84U8FIZ4rX163hn5OGOklxkuL2qSZQcJawyCZ/Kg98t44guTRnRq0WkNOf3hc3WaJpJmKxe\ncz8v3sJ5d37A+0+dT9duLU1ypGouM3finRN1CTcMzD4mrh1Cy6Z12bH7ABCbaB4PqwuK6NI0P2a+\nNMzWKZHnzsfww/adHNWsadKfEw9e54tueCwYB852LOVBJrRZOlSutzUJNZY0eaE61aF0lHOqgjxl\nf5RuVPdFMl3IhO+lKCIp4lTW7zjRb81Z0klkAI9WmWyjMkRKT+9v3Mjgxo3oXr+utVwkBVzzSZcB\nXMnRWLn3AP/9eS2z/zrWnJ+jmiZqS1lyESa/j/mrCzjj5nd45cGzGDWie4QwKZqlHJXz8uxkeFZ/\nuRZN6rJ9V5FFwpL70a/asZ+uTc3vLg2JDBou1mLobrJkhMznU7cXcE6b9hi6QBomqTIM8xzUDYmh\nm4/NZunuz/QiOV7nrqEndz7XBuJU3cj2nnOjVpGm2oossUk/DvULY1UhHnFK9g+eVMzfEN8Abr8W\nrTLZliIDnRfXreaJYYPCQ+qdKpM5mSqT8ClIBW79aAF/PLEXbZrlm+U6O2bAVpjsiAG/jxWboaJd\nYQAAIABJREFU9nDytW/y5N9O46Tj+8YSJtWf1P6I/VKKSWxUDUIB87MDBs3DSlPyWLl9v6k0RREU\nGZQYhq0euslTcdBg9u7dPD5gcNJt2A1dEoz6/VVUZXKiosSpupC97mcmsqSpgqgNhuFDHVnCVLVI\nlyLsNVzdRjwDeDyV6bNtW2lVpw5DmzS0lvNQmXwqItdUkz5euo1New9yw4k9wa9GRsxpatjPJFTz\n8YaCIk646jXuufl4zjp9sDdh8jJ4VwDNm+SzfVeSpEk3VaXVBUWc2qtlZL4hkQ4y4yzLGYapKs3Y\nuZO+DRqQr/gx9MpTmZyEKVmVyYmKEKfqUJsyiTDV1h5y5UWNJU3VKZtmiVLtQJYs1Swka/4Geyh8\nfAO4V8yArTJJKXl+7Sru7NPTnO9QmVSfYapMPs1l/r7jk4W8ePFwfDma2/zt94GihAnT9sJiTrjq\nNW66eASXnX9EJMU7ijAJLcfcqGh/UgJIPWiux/Y1CSX8/hZN6rJ81Y7EKzAMCEY+b1VBEV1HmuU5\np9okDRFWl6RFlmx8v62AUU2bJ73piVSmipTlvFBTiFMmESbIjhaLRo3eH1XZDTpTOk5nUTHUlNFh\nWSRGIvO308tkG8DLUpnsmAFFlfy0ewcSGNOyaThmIDxiTrHCLJ3m72krOaJLU0b3bRlr/rb9TH4f\nhUWljL32Tc49dQC3XHVMZJScF2FyjprzGjnnETcgVF+UnymyQ1o0rZu80oRJHFcVFNG1cR7SjirQ\nDaTjd+MkIEbIVJSm7ShgdLPmYVKVqspUmWU5L6QaS1AZSEdGWRbVhxqrNMWDF6mpyA0yS5JqPrIE\nqeYjWfN3eF45VSaA59eu4pruXRBCJFSZkjJ/W9ECRQdDnHrj24w+ogt/v21scoSpLNhqktcXtZmG\nZQZv3rgu2xN5mqJYzPY9JeRqCg3r+JEHQzGL2qU5Qxdhf9PaAwcIGAZd8+qHDeCJ4KUy2ahslckL\n9jmQrPpUFWpTpqlMkDWCR6PWkSYvZIlP5SPdF4+KHLNMIUnVHYFRG+B1HiRM/vZQmbyXi1WZABbs\n282mkhLGtWnlqTLZEQNJm78tX9M193xCj87NeOQvpyIUtWzCpFlGcGeNS3eQl3iEKbr1SigAQIvm\n9eIbwaNZg26wqqCILlEj58qKGvhuawGjmjVDCBFeZTIqU2Qz0qsyxUOq5CldyETClEUsDgnSlEXF\nUB0kJFOIT3lQETnefm+WPCVHmJJRmZwxA4lUJkWVPL92NVd07YRP9VaZUFWTHKVg/v5+zgZ+nLOB\nxV/eivD7I8GViQiTs8xmEydn0rfuVn/sZYTqQxohd16TptKscT47dh1ASkmiM8s2eq/asZ+uzerG\njJwDW12KfGw4amDHDs5t08FVmosHp2oUvVxlmb9ThZNwx9v2dKlNmUyYskZwN2qsp6mmtufIZHil\nQtdk8lLVMP+Krpz9Za/rUPVDpKI0Os3fNuLFDJjLeatMa4v3M7twN+d2aO9SmVRNxqhMtvn7iQlD\nEpq/g0Lh+vu/4NG7TiW/QX6EEKlaLGHSHITKfqx6+Jkg0pPOJlLO1zx60eXm+Mir46Nw38HYhsEe\nWLmjiC5NHMGWhrSiBhyzoqIG5uwu5MimZqilrUJFq0xOeJXmqqIslwwS+Z4OtcqFKso/xYMQYqwQ\nYpkQYoUQ4s44yzwhhFgphJgnhBjkmP+iEGK7EGJB1PL3CCHmCyHmCiG+FEK0tOb7hBD/E0IssF47\n2vGe763tmCuEmCOEKDOVtcaSJidqco+z6kSWHFUO0k1uDiUClWiwRTLmb6fK5DSAe6lMzlwmRZX8\nd91qLuzUkTyf4lKZXO1SrIiBh3+IY/7W3H6mx9/6jQ5tGjH+5IFlE6ZopcmebHIUzwjuJFDOFitR\n5bsWTfLZsac47r6XDnLiDLaMyWkyRMTT5BE1YMOTABneKlP0uV0VZblkUBWG8UxWmdIBIYQCPAWc\nCPQBJgghekYtcxLQRUrZDbgKeNbx8kvWe6PxoJRygJRyEPA58Ddr/hWAlFL2B04A/h31vglSykFS\nysFSyp2UgVpBmqKRJVDeyJKkykV1EJnaTJ5S+Qs+UVkuWmVy98eNzWUC2BEoZsr2bVzUpUNilUkR\n7CgJ8Nz0tfzzd/1jzd9WaU6oKpsKivjX/6bzxL1nmD6mJAmTIeGOO5/nwov/RcHuosjouUTkKVpl\ncqaJWySquZ0K7oRHHUoGDVbtKKJrs3z3yDlH1AAQEzVwtCNqIEyGdG/ylMkqUzKo7JZZyaDa2iBV\nfsPew4CVUsr1Usog8DZwetQypwOvAkgpfwUaCCFaWM9/AgqjVyqldJ7c+UTiVXsD31nLFAB7hBBD\nnV8xhd1R9sJCCEUIMUgIcYoQYowQonkqH1DdOJRVqCxJSh+qm7jUNvJU1k2orEwmr9dcSpSlMmk+\n4akyvbR+Lb9v15bGOb4yVaaHpq1kwmHt6dCinqf5227Ee/uj33DNBYfTtVPzSKnNIkCJCNPV1z7O\nTz8tpGnT+vTrdxlvvzsViYhVniCWMAnFjB6wnzt8UC2aJEgFD0Xu3lJKVu8somsjszwng25i5UwB\nd0YNHO2IGgCzNBd5j4xRmZyvOZEulclrRGVS78sAaaGWXb/bABsdzzdZ8xIts9ljmRgIIe4TQmwA\nziOiNM0HThNCqEKITsAQoJ3jbS9bpbm7ktn4uEZwIUQX4E7gOGAlUADkAt2FEMXAc8ArUqaQvlaJ\nSLaPVTSiL761TRqtZT+ujEOmEZWabhxP5i/2ZBryJlKZfGFyZS/jVpl2Bw/ywaaNfDlmZJkq06bi\nUt6YtYH5950c1/yNovDNrPX8tmgz/3t0gpswKVpcwhTSJZde/jDr12/ji68mUq9eHmefM5rLL/s3\nb775Lc8+ezNtWjVx7Bjr8q2HYn1MdonOcXVunkxWky7ZsqeEun6N+rk+jOIgYBrEnVEDQDhqYE1R\nbNRAMtchL7N1OszfTrJkP66MdR8qfelq0qVFSnkXcJflk7oBuBv4H9ALmAmsB6YTacB4npRyqxAi\nH5gkhLhASvl6os9INHruPsw64lVSSteZYclkE4A/AK+k+sUqC86LZ3lvZjWdRGXCjzbVfV8Tb/CZ\nRpaiYRiyxu3XihCmRObv6PWWpTI9t3oV49u2oXVebozKpOTgUpke+HIxl4zoRMvG+XHN3wGhcMPE\nL3jsrnHk5edFAioTEKZgyOCCCx9gd+E+Ppv8T3JyVXQjyJBhXZk5+2keuP9tBg68kvvvv4zLLz3J\n7GEX/uIO8qRqYIRi1Cc0leaN82PLcx4wS3OOkXNR574zBVwaVgp4VNQAEDdmwFmai5f+nQ7C5DW/\noo1/K0Kckr3XVPc13pfC6LkZPyxnxo8rylpsM9De8bytNS96mXZlLJMIbwKTgbullDpwq/2CEGI6\nsAJASrnV+v+AEOJNzNJh+UiTlHJCgte2A4+l8AXSjsogUOC+SGcqgaquH1FljgyLRibf8DOdMNmo\nKapTeciSF+KZv83XRFIq045AMR9u3sTXx47yVJmEIsIq05r9JXy4YDOL7z81ofn70Vd/plvHppx2\n0gArj0nxJkzW/6WBEOdMuI+QbvDRx/fg8wukbceQBppP4W93/4Hf/X4kV1z+b9566zteeOE2unRq\n5c5rUjX3c0VzRRO0aFaPuQudFQ8L9vltleFWbd9H16b5rkVkUGLoSkwKOHhHDegev5lEMQNQycnf\nSZbiUiFP1dH4t7oJU6o4clQPjhzVI/z8kfs/91psJtBVCNEB2AqciynCOPEJcB3wjhDicGCPxTts\nCGuKzBCiq5RylfV0PLDUml8HEFLKYiHE8UBQSrlMCKECDaWUu4QQPuBU4OuyvmMynqbVQoiro+Z9\nVtb7qhPmBdO7dUIqyCQfVHV5k6pq5JbzczLFr5Mp25EqMnW7k21DFO83l4r52/l6IpXpP2tWcVb7\ndrSokxNWmVTNW2W6/+tlXHN0V5o0qBPX/L1h+34efvlnHvvHeMdoOX9cwlRyMMj43/0dVVN57/2/\nhgmTIUMYMoQugxhSRzeC9O7bjh+nP8bJJx/G8OHX8ejjH5jkJNoEbvuanB4ooHnjfHbsjj96DgDd\nMOMGnCPnothMMlEDULbK5FzOvf4K9JdTRbm8S+V9H9T+CAKBUu7JC5bycz0wBVgMvC2lXCqEuEoI\ncaW1zGRgrRBiFaYV6Nrw9piK0AxMq9AGIcQl1ksPWLEC8zBtRTdZ85sDc4QQi4E7MCtkADnAV9by\nczC9VS+UtT+SCbcMAscIIYZjluoCJGHIyhRUZgmvqpWn6vgrI5NuttWpnGTSfigvMqVkl8pNpaw/\nUsoyf5uvJacybSst5rOtW/juuKNdKpNQIiqTyFERimBZYRFfLdvO0ouGmT3n4pi/b3v0a66/8Eg6\nd2gWJkfxCNOB4lJOG/83WrRsxEsv34FQDAdhMi82QigYMoQiTBVJURVuue1MTjv9SK684hHeeWcq\nL754O316dcD6cu7/bV+TUGjRNCoVPOR9QVtVUMQ5/dtERs4RiRlIFDVgWIuHgjL82EYyBvCKoryk\nx2sd8YhbVapNNU1lSgVSyi+BHlHznot6fn2c954XZ/6ZceavB3p6zC8Ghsa+IzGSGRdQLKU8B1Pq\n+lEI0Z7IUL5qQ3ma51ZUgaoq5amqFaVMUne8UJXbl8n7oTyozu+T6m80cXuU5MzfqYyYe3zVcs7r\n2J6muf64KhOqgByVv36xhJuP70GDermIHLfCZPuZJk1dwdyl2/jjtWNiRstFE6aZc1Zx3Al/pEOH\nFvzv5VvDhMlWlqT9T0aIlFN16tSlBV9/+yAXXXwCo0ffyv0PvIWu67GxBBD+v0WzemzbWeTNOB1M\nYPWO/XRplAcQbp/ihHPoz9TtBYzyiBowV+mtMiUqzZVHZaqISpRonakg1XtRWX+AZxJhEkKUe6qN\nSEZpEgBSygeFEHMwJbXGad2qNCNTb4rVUXqraUi3+lTeUZmZjkxRncqDVM3f4ZYpivWHkmqqTIrD\n4P3F9s3MKtzNZwOPCpMl1WeYk2Y15c3TUHI0/v3jKjbvO8gNJ/UKt1Ah1w+5OZCbg1BVPvhxFdfd\nP5lP/nc5derVsxK9c02VyZcLvlwkgm+nLmDixDdZuXITt91xJlddfTJCgZAMOAiSjoGOQCBQUFDN\nx1GqkxAKV151CieffBgXnD+RwsL9PPTA5WGSFG6pYo2ua9eqIVsL9lMaCJEDJukLRbVjwbQ4aVHn\nSjTRsf1Mu0oDDKnfJG7UACRWmTKJHERDUUXG5kRVJRSRIR6VDEEySpOddYCU8hvMJM6n0rZFKaA6\nfnCVXaKrDq9STVdT0n3zr6nkIh4qw99X3YgmTPHM3+BM/45tl6L6JOuK9/OPpYt45rDBNMzV0PwR\nsqRqEiXHDKxUcjQ+X7mdZ6avYdKNo8jL9yNyowhTjp83vl3GDQ98yZevXcVhQ7tGCJOvTpgwTZu+\nlGGH38CNNz7JeRccw9IV/+XKa07EECFCRikhI0BIRibdCBIyAhjoEeXJoTrZzw2p07ptY5574Rbe\nfPNbDMPwzG4CyMnPoVPbRixftysq8VO4njfK81FYGkumsjCRCblNWVQfEuU0DbYebnY8tpHRRvBE\nqAhZqCzCVJ1/XdVksgRVR2jsz6nJ+6u6iVIoKJMuW5Rl/nbNS1CWUxTzdU0ziZLPKhGqVvmtVIa4\nYf5s7ujdg36N6qNoJpFSNYnmswhTng/hU1i8q4ir35vLRzcdTZsW9SzClGOW4yzC9N+P5/OP/0zj\nmzevpnefjmZpzCZMmh98uXwyeSaXX/4wTzx1HePPOAIpdCQGurQJUURhsomRtAOWDEABKQ1U4QuP\njtNl0NKhNASCbt1b06BBPjNnrWT44E6R6AF7p1jP+3RtzuI1BfTv2Jh4DdYa5vnZUxJI6rjFQ3mu\ncVlVJzMRz9B9qCJRec7Zn2UIMIvIED8JjEnXRiWDcv0oy3kDrA1kCWo2Aagu1LRyXXUTpXSgPGW5\neD6mfyxZRK8G9TmvY1tUvwyrS5pPotYR4FMRPoWdIZ3fv/wLD501kMN6NkfJ0yyy5A8TpifemcUj\nr/3Cd+9cS7fu7dyEyZcLmp93J83gxhuf5KNP72bQkE4YmCbvRGTJfG6dcwpgmIZwwFWuI6pcd/oZ\nRzLpo+kMH9YtEj0QFXrZu1sLFq8ugBN6e1/YVIXG+X4KS4Ku2YoSSQPMIotDGXEppJTyGHsCVksp\nxzjmVSthKg+qkzBlQhuTmnTjj4fqIgQ1obxVE7YxVSTTkDdmOass5+VjmrRlA/P2FHL/wL7WchEf\nk5KDSZhyVYKawnlvzOTsYe05f0w30/htG741DeHz8fh7c3jizd+Y+u51cQnTq29O5eabn+KzL+5h\n4JCO6DJEyAigy6BZhjMCns9LdYOAIQkYEt0IYWCSKl2GIqTKo1w3fvwRTJr0g9lyBSLRA7YZHehj\nkyaIGHVtU7vPXKZRnp/C4oopTfFQ1TlHFUUqhvDaGj0gKvCvNiIZIzhkwGi5iqC6CFN1EyUbWcJU\n+duQCfs0E/ZJulFWJpOzLJeTq4RVJlUR+HMiPqaVB/by4IqlvHPU4dTLUS0fU0RpEj7NzGPyq9z8\n6QIa1PVz79mDInlMmhpWmKYt2sIDL/zAr5/cTPuOrUySpGguD9Nz//2C++57jS+//iddujd3+5M8\nVCWJQdAQGNKcIpUqiZ8QKCAs9UkRqqtcJwGJpN/A9gSDOouXbKBvj1aRneRo6tu3RysWr/rKwUK9\ny3NOpUkoghp+C6hRyJT7RhbeyBYr46AihCkTlCUbmXBzr42orADVmvK55UVl/A5SKcv5c5RwWU4o\npo+p2Ahy/bzZ/LVfL3o0qOuKFwj7mCzj97Oz1vPrhkJeveYoVJsw2cZvv49tRUHO/9OHvPzIhLiE\n6bEnP2LixDf56tuJdOne3FSYLHO3l6p0UJeUhBRChmDlyh08/q/POXXEPfzp+lcJhCKKk02ybKVJ\nl0FLfTJVJwScPv4IJn003R094EDXLs3ZtH0fJQfd5TcnGuf52VMSRFilynQjXQ16s6gcCKGUe6qN\niPuthBBPCiGeEEI8AbS1Hzvm1QiUhzSUlzBlElmC2kOYMp0gpIvIONdbk4hSqvAygdsj38LPUyjL\n5eQoYR+TUAzuWryA4U0b8/v2bSI+JkdZTuT5UPJ8fLNuJw9+u5wPbxxF/fo5pvHbLsv5fRiaxvl/\n+ZBLzz2ME48bCD6zHOckTBMffJennvqIr7+fSIdOjSOj4SyypBumpylgSEp1QcgQrF+/m2cfm8K4\nUf9kwkkPsWPHfm775wRWr9jGxL99SMgQMcRJN4JutcoiTqdbJTqnuhRu3qtq+HwqXds3Ydm6nZGy\nnNUGRqgCVEHDupVfnvNKAs+iZkARarmn2ohE5blZjsez070hmYKKEKbqQm0hR16oaUShpm1vpsMe\nDQfxy3JO83e0j+mtzetYc6CIj4YdEdNbTtUkIsccKbdy7wEufWsWb19zFJ3aNIiMlLON3z4fd784\nHaGq/P32cWHChKKZGUxaDn/9+6t88ME0vv5+Is1b1rXIkhlKGTICVvkNDKmwbdtePv9wNpMnzWTd\nqu0ce+pgbvj7WQw8oifCktYefKUdV467n5ZtGnHZNWOwS3VCCFThQzeCCKGgCg1Dmje3w47oytat\nu1mzdhud2zUO+5qkEQJh5jX17d6CRasLGNS5qec+b5QXawQvD2qafykVVEcfuiwyA4ka9r5SlRuS\nDqRKJjKVMNVmUpRF7Ucq0QMQqzJBGWU5h8rkzGNavL+QJ1auYNKoI6njc/uYNJ9EyTN9TAFNcO6r\nv3H3af0Y2a9VxPjtaJHy5awNvPThXGZPvh01J5Yw3X7nf/nmm9lM+W4ijZvWCZfgDHRCRoCSkELB\nzv18+fE8Jk+aydKFGxg9dgCX3HwqQ0f1QfWZl2JDCgJWUGRug/o8+tatXDXufpq3bMi4MwYDEr8C\nOsGwp0knFPY5+dRcxp12OB9+PIPbbhoPhiN6wELvbs1NM/hJfSEYS44a5/vZkyYjuBOZpMpnER+1\n1dBdXiTKaXoBeFxKucjjtXzgHKBUSvlGGrcv41HZP/wsQYogq9pUH1I9D9NxrJwqE8Qvy9mZTBGV\nCfbrpdw4bw73DehLp3p5YR+TsEfM1RFhH9M9Xy+lW8v6XH5cd9P4XcfvapGycc9BLvnbx7z99IW0\naN0MtFxQ/aD5MVQ/19/4NL/NXMqX3/yT+g39MYTpQADuvvMdPn5rBkeM6ctZlx/L4WP648vxYUjz\nu5TqpgoFZo/ckNXjrUmb5jz8+k3cfO4jNG3egBFHdSZgxBIng4hB/PTxR/DA/e9y282/iw25FAp9\nurfkpXdnOnay4gq4jDaCVwS1IXspmwyehROJynNPA38TQvQDFgEFQC7QDagP/A/IWMKUbpWpMshS\nliDFR5Yw1SxUVpuWRCqT/br5v7ssZ4dYmuZvgz8vWMBxrZpzStuWqH4ZLsv5cgy0OoTzmGZsLuTN\nORuYfe8pKPk+10g5cnMIKSrn/mkSN102iqNH9omU5TQ/uuLj8isfY8XKDUz+6j7y62kxhKmoFG6/\n5hU2btjFh7Mfol6DPAwpCBqCEksAcpIk3SJR9qVBMyQde3fiH09fwU0XP8vrn91Gz54t4xInKSSj\njunNRX/YwNZthbRqmh/ja+rbvSWLVm73HDknFEHj+jkUliPc0m7mm0XtQjbc0o1E5bl5wNlCiLqY\nnYBbASXAUinl8iravipBVROmLFlKjCxhql5U5fkZPwncW2WyXwNiynJ26ve3O7ey6sB+nho+IOxj\nUn3SLM854gUOCLj8ndk89YdhNG+SZxImh/FbqCp/enoajRrl88frT4wQJl8uQTQuvOhBtu/YzUef\n/ZW8/AhhCskAhtTZV2Jwy5Uvs2tnEf9+41bU3FxKQoTjBEKGcJEkW3UKOsiH+VMwGDCyP9fddRaX\nnfkk7075I21aN3ARJ0WoKBJ0GcTnz+XEsUP4+NOfufrysW5fEwE6d2rG9l0HKCoOUFcRMWECjfL9\n7CkOIhXMhsVex0eT6IHy/U5r8/VP84laV3asrYbu8qJMCimlLJJSTpVSviWl/KgmEKZUfpRVSZhq\nes+3qkCWMNVcJDq3k/ndJKsyQWwmk12WKxGl3LN0MRMH9iPXpyaMF/i/LxczomszThveITJSLtcf\n9jF9OH01k75ZwitPXIzijxAmqfq47MpH2bNnP+9/9Gfy8v0xhGlvscF1F73Avn0Hue/lmzH8uZSE\nBMUhhVJdocT6P2SI8ONSXVCqC4IG4cl+LWjA2LOPYtx5I7ni7Kco3FuKISFgSKSMNPm1R9GNP+NI\nJk36EevLu8p0qqbRo1NTlq4psHdsZCQd4NdUcjSFokAo9iBkkcUhjuyvIQWUlzBlyVLZqM1D6msS\nMuE89VKZvMpy0ZlMiip5ZOVyjm7RjMObNTb7ymkeqd8+ha/XFvDVsu08euGwWON3jp81O4u5+t7P\nefuZi2nStEHEx+TL5bkXv2Le/FW88e4d5OS6FaZS3WBPkc5V5/+HkAF3v3ADit8fJj8lochUqguK\nQyZJKg7BQR0ORP0fNExFyiZVF940jl4DO3H9hc9RGtAxJGY7Fps4WfEDx584mF9/XUrhngOx8QNA\n324tWLSmILZE50gF311cOb6mLGo2songbtQ60pQulakihCmL+MiSpdqF8p7vZalM5jLW/3EymRbu\n282X27byl749XD6mSOq32SZlj2Fw9Xtz+e+lw2nYIDfiY7LKcgel4Ow/fsBfbjze7OPmKMvNmbeW\nv/71JV5/63b8uWoMYdpfFODyc5/BXyeHv/3nOnTVHyZJiQhSwIAS3fw/YLhfLw6ZeU7FIYWAoXDz\n/X9A82v88brX0A3TRG4TJynN3KbcPJWjRw/gs8m/xuY12T3oVllKkxZVflGVmKa9QqkMD2eFV1Eh\nVLZg5mEJi7Nc9vpWm1DmYbeM4LUO6SZMWXWpbGQvJpmFTDhfE6lM4J3JpGgSXejctXghf+nbi0a5\nfhQlflnulk8XMn5QW44Z0MbKY4okfgtV5ZbHvqVThybccMVxLsK050CIs865h8eevJrO3VqE85ds\nwrR3XymXnPUUDZrW5/+evJqg8FmGb4UDIcJTiR4hSNHKkkmSIuU5m0DZQZilukAXGv949mpWr9zG\nw/d+giFFmDgZ6OFedePPOMIs0Vnp4EL1mTtR1ejZtTkrNuyO7Hgr4NKGV9PedCI7Oi1zkU0EdyOZ\n3nPPCCFygJeBN6SUe9O7SeVHshf9dBKmTLjxZDqyZKl2I95Iuui8JtsEnqzKZI+Qi85kUlTJSxvW\n0DTXzxntWkV8TB5luQ+WbmX2pj3MuupklDwtTJbw+xA+H29+u5xvf1nDzC/vRGi+iI9Jy+GSy+7h\nxJOGMP73h8UoTDt3l3DZWU/SoXsbbpp4MQGphktqNlmCiAnceZk4UBygcOtOCrcUsGuz+X/hlgK6\nHzmAo343yrxKhwAE5t+5Bjk5dXjo1Zu4atz9tGjTiAsvG0WpDoqwSnRCctIpw7jlpv9woLiUfL+t\nNGlAgE4dmrJ2U6FJlhwXRKGaxvCGeX72lNa+8pyqlK9ty6EcO1Bby2zlRZmkSUo5UgjRDbgUmC2E\n+A14SUr5ddq3rpqRCmHKkqWykSVLyXVCr47RN5lw/palMtllOX+u2/y9+eABnl+zio+PPtJaxogq\ny5mj5bYHQ9zy0Xwm3TiK/Ea5MQGWSzft4eYHv2TKm9fSoLHbx/ToEx+xaXMB/3v9phjCtGNXMZec\n8Ti9BnXm2nsuoNSIJUw7C4vZuGg1u7fsZPfmAosYmQSpZG8RDVs2oUHrZjRq3YyGrZvR5YgBfP3M\ne+Tk12H42GEAqDqAQBHmPslv3JBH3rqFa05/gOYtGzL2lP6uEl3DRnUYNqwHX30zl9/NaKm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AgxGVMA+t56/XlguZTyyWRWlkw++lCgtww3KaoUXC+E+ANmW5bbrCbAbTATxm0kLcdlb7gR1ASi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\nLJFAZ6F7AAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x8387fa7128>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "time_frontiers = [9.9, 10.05]\n",
+    "freq_frontiers = [0, 300]\n",
+    "\n",
+    "time_index = [np.argmax(time_vector>time_frontiers[0]),\n",
+    "                      np.argmax(time_vector>time_frontiers[1])]\n",
+    "freq_index = [np.argmax(frequency_vector>freq_frontiers[0]),\n",
+    "                      np.argmax(frequency_vector>freq_frontiers[1])]\n",
+    "time_window = time_2D[freq_index[0]:freq_index[1],time_index[0]:time_index[1]]\n",
+    "freq_window = freq_2D[freq_index[0]:freq_index[1],time_index[0]:time_index[1]]\n",
+    "intens_window = intensity_matrix[freq_index[0]:freq_index[1],time_index[0]:time_index[1]]\n",
+    "plt.figure(figsize=(10,6))\n",
+    "plt.contourf(time_window, freq_window,intens_window,np.linspace(0, 0.02313, 200),cmap = plt.cm.Spectral)\n",
+    "plt.colorbar()\n",
+    "plt.contour(time_window, freq_window,intens_window,np.linspace(0, 0.02313, 9), colors='k')\n",
+    "plt.xlabel('time (s)')\n",
+    "plt.ylabel('Frequency (Hz)')\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# IPython Widgets"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The IPython Widgets are interactive tools to use in the notebook. They are fun and very useful to quickly understand how different parameters affect a certain function.\n",
+    "\n",
+    "This is based on a section of the PyConEs 14 talk by Kiko Correoso \"Hacking the notebook\": http://nbviewer.jupyter.org/github/kikocorreoso/PyConES14_talk-Hacking_the_Notebook/blob/master/notebooks/Using%20Interact.ipynb"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 54,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "from ipywidgets import interact"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 55,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "#Lets define a extremely simple function:\n",
+    "def ejemplo(x):\n",
+    "    print(x)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "10\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<function __main__.ejemplo>"
+      ]
+     },
+     "execution_count": 62,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "interact(ejemplo, x =10) #Try changing the value of x to True, 'Hello' or ['hello', 'world']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 60,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "9.9\n"
+     ]
+    }
+   ],
+   "source": [
+    "#We can control the slider values with more precission:\n",
+    "interact(ejemplo, x = (9,10,0.1))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "If you want a dropdown menu that passes non-string values to the Python function, you can pass a dictionary. The keys in the dictionary are used for the names in the dropdown menu UI and the values are the arguments that are passed to the underlying Python function."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 63,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "10\n"
+     ]
+    }
+   ],
+   "source": [
+    "interact(ejemplo, x={'one': 10, 'two': 20})"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Let's have some fun! We talked before about frequencys and waves. Have you ever learn about AM and FM modulation? It's the process used to send radio communications!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 66,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.text.Text at 0x83f9e23550>"
+      ]
+     },
+     "execution_count": 66,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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Z/fWrrTYwMmgwWPpdg3oj/CcBfArAfaEbiKgNwPkA9gGwBYAjiegDdT63qRgs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\nCKFLRMIPIYQuEQk/hBC6RCT8EELoEv8Cdw8rULb83nYAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x83f9ded908>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "x = np.linspace(-1, 7, 1000)\n",
+    "\n",
+    "fig = plt.figure()\n",
+    "\n",
+    "plt.subplot(211)#This allows us to display multiple sub-plots, and where to put them\n",
+    "plt.plot(x, np.sin(x))\n",
+    "plt.grid(False)\n",
+    "plt.title(\"Audio signal: modulator\")\n",
+    "\n",
+    "plt.subplot(212)\n",
+    "plt.plot(x, np.sin(50 * x))\n",
+    "plt.grid(False)\n",
+    "plt.title(\"Radio signal: carrier\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 71,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x83fa0c44e0>]"
+      ]
+     },
+     "execution_count": 71,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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9/UcegWMAuPVW4B//sbnlJL376ciKuGFqSlb4XSydHDdIaZlUNjbWTtm2CBoL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\nvsPhcCwROOE7HA7HEoETvsPhcCwR/P8BurvEKOlsRQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x83fa075a20>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Am modulation simply works like this:\n",
+    "am_wave = np.sin(50 * x) * (0.5 + 0.5 * np.sin(x))\n",
+    "plt.plot(x, am_wave)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "In order to interact with it, we will need to transform it into a function"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 80,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def am_mod (f_carr=50, f_mod=1, depth=0.5): #The default values will be the starting points of the sliders\n",
+    "    x = np.linspace(-1, 7, 1000)\n",
+    "    am_wave = np.sin(f_carr * x) * (1- depth/2 + depth/2 * np.sin(f_mod * x))\n",
+    "   \n",
+    "    plt.plot(x, am_wave)\n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 81,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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B2T1w+v/WFvCe9/DHPO95wA/8AN8G8O9JA3xpCxKL4WttlmxzYDV86gDc7PiNN8o7Vf7r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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x83f9f6e588>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "interact(am_mod,\n",
+    "        f_carr = (1,100,2),\n",
+    "        f_mod = (0.2, 2, 0.1),\n",
+    "        depth = (0, 1, 0.1))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "collapsed": true
+   },
+   "source": [
+    "#### Other options... \n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 5. Other packages"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Symbolic calculations with SymPy "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "![sympy](./static/sympy.png)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "SymPy is a Python package for symbolic math. We will not cover it in depth, but let's take a picure of the basics!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "IPython console for SymPy 1.0 (Python 3.5.1-64-bit) (ground types: python)\n",
+      "\n",
+      "These commands were executed:\n",
+      ">>> from __future__ import division\n",
+      ">>> from sympy import *\n",
+      ">>> x, y, z, t = symbols('x y z t')\n",
+      ">>> k, m, n = symbols('k m n', integer=True)\n",
+      ">>> f, g, h = symbols('f g h', cls=Function)\n",
+      ">>> init_printing()\n",
+      "\n",
+      "Documentation can be found at http://docs.sympy.org/1.0/\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Importación\n",
+    "from sympy import init_session\n",
+    "\n",
+    "init_session(use_latex=True) #We must start calling this function"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The basic unit of this package is the symbol. A simbol object has name and graphic representation, which can be different:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABUAAAAMBAMAAAB/4Ov2AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXYyIt1Uze+rmRC7\nZkTTotXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAdklEQVQIHWNgYBBSMmCAAtcE9oIbs87Pmn+B\ngaGRgTNhNsN9Bt4HDFy/GRi4FRjWMLA5MHAcYGBg3sAQyMDHwLBfAKSP+x+I5AdqSWDgA6pkYOCa\nwLDLgIExAMRmELyrwMDAMwHMBhMglTBgbwBjMbyMnwhkAwDTtxfeCPtWNAAAAABJRU5ErkJggg==\n",
+      "text/latex": [
+       "$$c_{T}$$"
+      ],
+      "text/plain": [
+       "c_T"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "coef_traccion = symbols('c_T')\n",
+    "coef_traccion"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEcAAAAUBAMAAAAthD11AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIma7zZnddlTvRIkQ\nMqvFy5UvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABSElEQVQoFX2SPUsDQRCGn7tcPsglISAKYnN2\ndlF74SwshfsJsRHLNBZWnpWtlYpVKgsrQYLGSrAQq+Qf5A9YaIwoCInvRkgWL+fADe/sPLe7M7Pg\nBKSYc3ykzLLJzqUgFLeq89tQqQrYTINqARzGlEJwoxSoPFDCe4NbyJndZln2W6v+JzzDwizArHlf\ncu67RJN9yVV9i0052zJ9RfkhZCPWhTcVdho2YfIfchWRbsieUEX4sfGWlU4V5E6gUOcCriDETRRQ\n00ovhvKrgRqUI3xrk1/p6QI3koJ0XEQ+Zukv5Dgh7DhQrJuLb9CLko33ecGJdIAb0oJ263zYDiiZ\nFk+tsnJP4U4dyl5zCY+D7sGZsrsPU0Tljvq4I3Xc69pjKSQKHP+kmVgDThY4hjRg1iZnPE2ULcxT\nsR5dYOcmOmMu4QRy/5ie7w8XTDqYWIHfzwAAAABJRU5ErkJggg==\n",
+      "text/latex": [
+       "$$\\left ( \\omega, \\quad \\Omega\\right )$$"
+      ],
+      "text/plain": [
+       "(ω, Ω)"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "w = symbols('omega')\n",
+    "W = symbols('Omega')\n",
+    "w, W"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "By default, SymPy takes symbols as complex numbers. That can lead to unexpected results in front of certain operations, like logarithms. We can explicitly signal that a symbol is real when we create it. We can also create several symbols at a time."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{'commutative': True,\n",
+       " 'complex': True,\n",
+       " 'hermitian': True,\n",
+       " 'imaginary': False,\n",
+       " 'real': True}"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "x, y, z, t = symbols('x y z t', real=True)\n",
+    "x.assumptions0"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Expressions can be created from symbols:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAJ4AAAAZBAMAAAAyHoooAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nrkJggg==\n",
+      "text/latex": [
+       "$$\\sin^{2}{\\left (x \\right )} + \\cos^{2}{\\left (x \\right )}$$"
+      ],
+      "text/plain": [
+       "   2         2   \n",
+       "sin (x) + cos (x)"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "expr = cos(x)**2 + sin(x)**2\n",
+    "expr"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAPBAMAAAArJJMAAAAAHlBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAACGjDitAAAACXRSTlMAVO8Qq5l2zWYZcMvdAAAACXBIWXMAAA7EAAAOxAGV\nKw4bAAAAHUlEQVQIHWNgAANGZQYGk5DJQDYbqQSr03QPsBkAJYgIYEZbtZEAAAAASUVORK5CYII=\n",
+      "text/latex": [
+       "$$1$$"
+      ],
+      "text/plain": [
+       "1"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "simplify(expr)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALUAAAAcBAMAAADVbuO8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nrkJggg==\n",
+      "text/latex": [
+       "$$\\sin^{2}{\\left (y^{2} \\right )} + \\cos^{2}{\\left (y^{2} \\right )}$$"
+      ],
+      "text/plain": [
+       "   2⎛ 2⎞      2⎛ 2⎞\n",
+       "sin ⎝y ⎠ + cos ⎝y ⎠"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#We can substitute pieces of the expression:\n",
+    "expr.subs(x, y**2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABYAAAAOBAMAAADZH/H+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIom7VJlmdt1E7xDN\nMqsI8sYEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAiUlEQVQIHWNgEFIyYYACxgAG/wQom/0LA38D\nlM25kmH/ASgbSMHVMDBwNzEw1P////8rAwOjRjQDk667WKEASKXWhCsMiuwXwJq4VjMwGPBtACoR\nYGD+wsD7gAMozP8bxGZN4AeKcxkwcHxk2L+BfwIDA1sCg38BQwUDlwJQ0dRQSwYGMwY+BQYAQRkc\nPIr4GKkAAAAASUVORK5CYII=\n",
+      "text/latex": [
+       "$$3 \\pi$$"
+      ],
+      "text/plain": [
+       "3⋅π"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#We can particularize on a certain value:\n",
+    "(sin(x) + 3 * x).subs(x, pi)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAAPBAMAAAA2dm/eAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nm6k4P8f/P5poGg1S+zjH/w8Fd0VUOSFGAAAAAElFTkSuQmCC\n",
+      "text/latex": [
+       "$$9.42477796076937971538793$$"
+      ],
+      "text/plain": [
+       "9.424777960769379715387930"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#We can evaluate the numerical value with a certain precission:\n",
+    "(sin(x) + 3 * x).subs(x, pi).evalf(25)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We can manipulate the expression in several ways. For example:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAH8AAAAgBAMAAADJS7oCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\njZa9kR22AAAAAElFTkSuQmCC\n",
+      "text/latex": [
+       "$$\\left(x^{3} + 3 y + 2\\right)^{2}$$"
+      ],
+      "text/plain": [
+       "              2\n",
+       "⎛ 3          ⎞ \n",
+       "⎝x  + 3⋅y + 2⎠ "
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "expr1 = (x ** 3 + 3 * y + 2) ** 2\n",
+    "expr1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAScAAAAYBAMAAABKLya+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
+      "text/latex": [
+       "$$x^{6} + 6 x^{3} y + 4 x^{3} + 9 y^{2} + 12 y + 4$$"
+      ],
+      "text/plain": [
+       " 6      3        3      2           \n",
+       "x  + 6⋅x ⋅y + 4⋅x  + 9⋅y  + 12⋅y + 4"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "expr1.expand()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We can derivate and integrate:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAE8AAAAUBAMAAAA+U32BAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\ngsdlkYS4T3+FOxIHb5j1eYECAAAAAElFTkSuQmCC\n",
+      "text/latex": [
+       "$$8 \\sin{\\left (2 x \\right )}$$"
+      ],
+      "text/plain": [
+       "8⋅sin(2⋅x)"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "expr = cos(2*x)\n",
+    "expr.diff(x, x, x)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMQAAAAZBAMAAACcKJypAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nRK5CYII=\n",
+      "text/latex": [
+       "$$x^{2} \\cos{\\left (y \\right )} + y^{3} \\sin^{2}{\\left (x \\right )}$$"
+      ],
+      "text/plain": [
+       " 2           3    2   \n",
+       "x ⋅cos(y) + y ⋅sin (x)"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "expr_xy = y ** 3 * sin(x) ** 2 + x ** 2 * cos(y)\n",
+    "expr_xy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAAcBAMAAADB3ip0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nDad4PAAAAABJRU5ErkJggg==\n",
+      "text/latex": [
+       "$$2 \\left(- 6 y \\sin^{2}{\\left (x \\right )} + 6 y \\cos^{2}{\\left (x \\right )} - \\cos{\\left (y \\right )}\\right)$$"
+      ],
+      "text/plain": [
+       "  ⎛         2             2            ⎞\n",
+       "2⋅⎝- 6⋅y⋅sin (x) + 6⋅y⋅cos (x) - cos(y)⎠"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "diff(expr_xy, x, 2, y, 2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVUAAAAqBAMAAADxIdW9AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n1JXFqa5Gt5pahtOyqjc0r3bh/wHRl4TehPgwOgAAAABJRU5ErkJggg==\n",
+      "text/latex": [
+       "$$\\frac{1}{2} \\log{\\left (\\cos{\\left (x \\right )} - 1 \\right )} - \\frac{1}{2} \\log{\\left (\\cos{\\left (x \\right )} + 1 \\right )}$$"
+      ],
+      "text/plain": [
+       "log(cos(x) - 1)   log(cos(x) + 1)\n",
+       "─────────────── - ───────────────\n",
+       "       2                 2       "
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "int2 =  1 / sin(x)\n",
+    "integrate(int2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGwAAAAnBAMAAAAY17BRAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
+      "text/latex": [
+       "$$\\frac{x}{2 a^{4} + 2 a^{2} x^{2}}$$"
+      ],
+      "text/plain": [
+       "      x       \n",
+       "──────────────\n",
+       "   4      2  2\n",
+       "2⋅a  + 2⋅a ⋅x "
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "x, a = symbols('x a', real=True)\n",
+    "\n",
+    "int3 = 1 / (x**2 + a**2)**2\n",
+    "integrate(int3, x)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We also have ecuations and differential ecuations:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAE8AAAATBAMAAAAjVk05AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpmJdu8QRM1mu90y\nVKvMIHo8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABLUlEQVQoFWNgQAIiJvOQeHiYF6qY8cgiS7kg\nc/CwDZZz4pFFknrp7IPEI5nJ5vXuJaMBsjb+/0CALABhu05g4FWdgCmOLpK1DSiiL4AqzPgAlQ/i\n9ScAiVIQCwlwOiBxIEymvyD6EBAzKquEMTAkuygC2daaIFEUIL8BxE0E4lIBjg8M7BsZhIFsbpAg\nEFh0gEATiGnvACKBgC2SgWkBg+gFNh0gJwMshELsPwDlMn1j4HZgeDrFMwEocAkzZuJB4gxAgnUB\nQ/4Bhn9ADhDIOUJoJHI/iM17gIEh34DhPgPDZyQpINN6NwjsAwmCQ5AJyMi/wLCCVyCYgYEFJIwJ\n5EGRZwbEHA6c+5gZPBjYQMGDBfD+BDo9ASjB9sRGzp2BRWUmFkVgoaR1jwqADADyDDxaVpyiwAAA\nAABJRU5ErkJggg==\n",
+      "text/latex": [
+       "$$a e^{\\frac{x}{t}} = C$$"
+      ],
+      "text/plain": [
+       "   x    \n",
+       "   ─    \n",
+       "   t    \n",
+       "a⋅ℯ  = C"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "a, x, t, C = symbols('a, x, t, C', real=True)\n",
+    "ecuacion = Eq(a * exp(x/t), C)\n",
+    "ecuacion"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGkAAAAyBAMAAACt5eg9AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nVV71FZsWa0F/lf8ABgi7K7xozqsAAAAASUVORK5CYII=\n",
+      "text/latex": [
+       "$$\\left [ t \\log{\\left (\\frac{C}{a} \\right )}\\right ]$$"
+      ],
+      "text/plain": [
+       "⎡     ⎛C⎞⎤\n",
+       "⎢t⋅log⎜─⎟⎥\n",
+       "⎣     ⎝a⎠⎦"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "solve(ecuacion ,x)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAT0AAAAvBAMAAABj3ACKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
+      "text/latex": [
+       "$$y{\\left (x \\right )} + \\frac{d}{d x} y{\\left (x \\right )} + \\frac{d^{2}}{d x^{2}}  y{\\left (x \\right )} = \\cos{\\left (x \\right )}$$"
+      ],
+      "text/plain": [
+       "                    2               \n",
+       "       d           d                \n",
+       "y(x) + ──(y(x)) + ───(y(x)) = cos(x)\n",
+       "       dx           2               \n",
+       "                  dx                "
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "x = symbols('x')\n",
+    "f = Function('y')\n",
+    "ecuacion_dif = Eq(f(x).diff(x,2) + f(x).diff(x) + f(x), cos(x))\n",
+    "ecuacion_dif"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAA/BAMAAACY8EZSAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
+      "text/latex": [
+       "$$y{\\left (x \\right )} = \\frac{1}{\\sqrt{e^{x}}} \\left(C_{1} \\sin{\\left (\\frac{\\sqrt{3} x}{2} \\right )} + C_{2} \\cos{\\left (\\frac{\\sqrt{3} x}{2} \\right )}\\right) + \\sin{\\left (x \\right )}$$"
+      ],
+      "text/plain": [
+       "             ⎛√3⋅x⎞         ⎛√3⋅x⎞         \n",
+       "       C₁⋅sin⎜────⎟ + C₂⋅cos⎜────⎟         \n",
+       "             ⎝ 2  ⎠         ⎝ 2  ⎠         \n",
+       "y(x) = ─────────────────────────── + sin(x)\n",
+       "                    ____                   \n",
+       "                   ╱  x                    \n",
+       "                 ╲╱  ℯ                     "
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dsolve(ecuacion_dif, f(x))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Data Analysis with pandas "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "![pandas](./static/pandas_logo.png)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Pandas is a package that focus on data structures and data analysis tools. We will not cover it because the next workshop, by Kiko Correoso, will develop it in depth."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Machine Learning with scikit-learn "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "![scikit-learn](./static/scikit-learn-logo.png)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Scikit-learn is a very complete Python package focusing on machin learning, and data mining and analysis. We will not cover it in depth because it will be the focus of many more talks at the PyData."
    ]
   },
   {
@@ -1583,7 +2993,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 43,
    "metadata": {
     "collapsed": false
    },
@@ -1738,7 +3148,7 @@
        "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 42,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/data/ligo_datos.txt b/data/ligo_datos.txt
new file mode 100644
index 0000000..ada48e4
--- /dev/null
+++ b/data/ligo_datos.txt
@@ -0,0 +1,31 @@
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diff --git a/data/ligo_tiempos.txt b/data/ligo_tiempos.txt
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